| Institute for Mathematics and its Applications University of Minnesota 114 Lind Hall 207 Church Street SE Minneapolis, MN 55455 |
2008-2009 Program
See http://www.ima.umn.edu/2008-2009 for a full description of the 2008-2009 program on Mathematics and Chemistry.
Kathy Boyer, IMA Administrator since 1989 has retired from
the IMA. A retirement party attended by former IMA directors
and colleagues was held on May 28 in honor of Kathy's dedication and
service. Her last day was May 29, 2009. We thank Kathy
for her valuable contribution to the IMA and wish her the best.
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| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 | ||
| 1:00pm-2:00pm | Reading group for Professor Ridgway Scott's book "Digital Biology" | L. Ridgway Scott (University of Chicago) | Lind Hall 409 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| All Day | 2009 IMA Participating Institution Council/Industrial Advisory Board joint meeting | |||
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| All Day | Motivations | ND6.15-26.09 | ||
| All Day | IMA PI summer program for graduate students: The mathematics of inverse problems, University of Delaware, June 15-July 3, 2009 Workshop Schedule | PISG6.15-7.3.09 | ||
| 8:15am-8:45am | Registration and coffee | Lind Hall 400 | ND6.15-26.09 | |
| 8:45am-9:00am | Welcome to the IMA | Fadil Santosa (University of Minnesota) | Lind Hall 409 | ND6.15-26.09 |
| 9:00am-10:30am | "Applied topology: motivations from data" point-set topology intro motivations from data, statistics, biology, etc. | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Applied topology: motivations from systems" euler characteristic intro motivations from networks, sensors, robotics, etc. | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | UMN robotics mixer | Walter 402 | ND6.15-26.09 | |
| 3:30pm-3:40pm | Group photo | ND6.15-26.09 | ||
| 3:45pm-5:00pm | Reception | Lind Hall 400 | ND6.15-26.09 |
| All Day | Tools | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Homology 1" intro to homology simplicial, cellular, cech, & more: simple applications | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Homology 2" morse, morse-conley, hodge & more: simple applications | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | The role of information in pursuit evasion: Graph theoretic models | Volkan Isler (University of Minnesota) | Lind Hall 409 | ND6.15-26.09 |
| All Day | Computation | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Computing homology 1: theory" intro to exact sequences | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Computing homology 2: practice" intro to algorithms/software; plex | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | Introduction to Jplex | Henry H. Adams (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| All Day | Complexes | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Spaces 1: complexes" cech, v-rips, witnesses, alpha, etc. & uses in data | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | Sensor networks and coverage | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | Gait states for a torus and a disk: "How to talk with robots" | Fred Cohen (University of Rochester) | Lind Hall 409 | ND6.15-26.09 |
| 6:30pm-8:30pm | Workshop dinner at Kafe 421 | Kafe 421 421 14th Avenue SE Minneapolis, MN 55414 612-623-4900 |
ND6.15-26.09 |
| All Day | Examples | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Visualizing data via homology" image statistics data, range patches, neuroscience | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Network coverage via homology" coverage in sensor networks | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | Naive counting with sensors | Fred Cohen (University of Rochester) | Lind Hall 409 | ND6.15-26.09 |
| All Day | No events scheduled. | ND6.15-26.09 |
| All Day | No events scheduled. | ND6.15-26.09 |
| All Day | Sensors | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Sheaves and Euler integration" Euler integration and target enumeration | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Topological signal processing" target localization; integral transforms and euler calculus | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | Topological data analysis: Understanding optical flow | Henry H. Adams (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| All Day | Data | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Persistence and point clouds" Functoriality, diagrams, difficulties in classifying diagrams, multidimensional persistence, Gröbner bases | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Zig-zags and statistics" bootstrap method, zig-zag persistence, other applications of zig-zag persistence | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | Verified homology of nodal domains | William D. Kalies (Florida Atlantic University) | Lind Hall 409 | ND6.15-26.09 |
| All Day | Statistics | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Imaging data sets" linear regression, projection pursuit, multidimensional scaling as methods of imaging data sets | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Unimodal decompositions" lyusternik-schnirelman category; unimodal category and mode-decomposition in statistics; applications to coordinate-free data | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:00pm | Lunch | ND6.15-26.09 | ||
| 2:00pm-3:30pm | Computational Conley theory | William D. Kalies (Florida Atlantic University) | Lind Hall 409 | ND6.15-26.09 |
| All Day | Computation & Software | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:30am | "Mapper for mapping" mapper as an imager. Importance of mapping. Applications of homology to mapping | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 10:30am-11:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 11:00am-12:30pm | "Consensus and distributed computation" not so sure about this one... | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 12:30pm-2:30pm | Lunch | ND6.15-26.09 | ||
| 2:30pm-3:30pm | Introduction to homotopy limits and colimits | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| All Day | Future Directions | ND6.15-26.09 | ||
| 8:30am-9:00am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 9:00am-10:00am | "Topology & systems: The future" | Robert Ghrist (University of Pennsylvania) | Lind Hall 409 | ND6.15-26.09 |
| 10:00am-10:30am | Coffee | Lind Hall 400 | ND6.15-26.09 | |
| 10:30am-11:30am | "Topology & data: The future" | Gunnar Carlsson (Stanford University) | Lind Hall 409 | ND6.15-26.09 |
| 11:30am-12:00pm | Closing discussions | Lind Hall 409 | ND6.15-26.09 |
| 8:15am-9:00am | Registration and coffee | Lind Hall 400 | SW6.29-7.31.09 | |
| 9:00am-9:15am | Welcome to the IMA | Fadil Santosa (University of Minnesota) | Lind Hall 409 | SW6.29-7.31.09 |
| 9:15am-10:00am | Intro to objective structures (for all groups) | Lind Hall 400 | SW6.29-7.31.09 | |
| 10:00am-10:45am | Intro to solar cells (for all groups) | Lind Hall 409 | SW6.29-7.31.09 | |
| 10:45am-11:15am | Break | Lind Hall 400 | SW6.29-7.31.09 | |
| 11:15am-12:00pm | Intro to data clustering (for all groups) | Lind Hall 409 | SW6.29-7.31.09 | |
| 12:00pm-1:30pm | Lunch break, getting acquainted | SW6.29-7.31.09 | ||
| 1:30pm-2:15pm | First day business: assignment of desks, computers, paperwork, keys, … | Lind Hall 409 | SW6.29-7.31.09 | |
| 2:30pm-4:30pm | Groups meet separately with mentors and advisors | Lind Hall 400 | SW6.29-7.31.09 |
| All Day | Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 |
| All Day | Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400 | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 | ||
| 3:00pm-4:00pm | Lecture - Title:TBA | Russell J. Holmes (University of Minnesota) | Lind Hall 409 | SW6.29-7.31.09 |
| All Day | Work on projects till afternoon. Lind Hall 400 | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 | ||
| 3:00pm-6:00pm | Mississippi history walk (lecturer: Pat Nunnally) | Mississippi River | SW6.29-7.31.09 |
| All Day | Independence Day. The IMA summer REU schedule will take place. | |||
| All Day | 3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409 | SW6.29-7.31.09 |
| All Day | No events scheduled. | SW6.29-7.31.09 |
| All Day | No events scheduled. | SW6.29-7.31.09 |
| All Day | 9:00am Separate group meetings. Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| All Day | Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| All Day | Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400 | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 | ||
| 3:00pm-4:00pm | Lecture - Title:TBA | Duane Nykamp (University of Minnesota) | Lind Hall 409 | SW6.29-7.31.09 |
| All Day | Work on projects till afternoon. Lind Hall 400 3:00pm Excursion away from IMA. Location: TBA | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| All Day | 3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409 | SW6.29-7.31.09 | ||
| 10:45am-11:15am | Coffee break | Lind Hall 400 |
| All Day | No events scheduled. | SW6.29-7.31.09 |
| All Day | No events scheduled. | SW6.29-7.31.09 |
| All Day |
Morning Chair: Marta Lewicka (University of Minnesota) Afternoon Chair: Alberto Bressan (Penn State University) | SP7.13-31.09 | ||
| All Day | 9:00am Separate group meetings. Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:15am-8:45am | Registration and coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 8:45am-9:00am | Welcome to the IMA | Fadil Santosa (University of Minnesota) | EE/CS 3-180 | SP7.13-31.09 |
| 9:00am-10:15am | TBA | Constantine Dafermos (Brown University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:15am-10:45am | Coffee Break | EE/CS 3-176 | SP7.13-31.09 | |
| 10:45am-12:00pm | A tutorial on hyperbolic conservation laws. Lecture 1 | Alberto Bressan (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-3:00pm | TBA | Gui-Qiang G. Chen (Northwestern University) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-3:15pm | Group Photo | |||
| 3:15pm-4:00pm | Coffee Break | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-5:00pm | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 1 | Eduard Feireisl (Czech Academy of Sciences (AVČR)) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Gui-Qiang G. Chen
(Northwestern University) Afternoon Chair: Dehua Wang (University of Pittsburgh) | SP7.13-31.09 | ||
| All Day | Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-10:15am | A tutorial on hyperbolic conservation laws. Lecture 2 | Alberto Bressan (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:15am-10:45am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 10:45am-12:00pm | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 2 | Eduard Feireisl (Czech Academy of Sciences (AVČR)) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-3:00pm | Dynamics of viscous shock waves. Lecture 1: Stability of viscous shock waves | Kevin Zumbrun (Indiana University) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-5:00pm | TBA | Eitan Tadmor (University of Maryland) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Eitan Tadmor (University of Maryland) Afternoon Chair: Kevin Zumbrun (Indiana University) | SP7.13-31.09 | ||
| All Day | Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-10:15am | Numerical methods for multi-dimensional systems of conservation laws. Lecture 1 | Chi-Wang Shu (Brown University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:15am-10:45am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 10:45am-12:00pm | TBA | Gui-Qiang G. Chen (Northwestern University) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-3:00pm | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 3 | Eduard Feireisl (Czech Academy of Sciences (AVČR)) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 3:00pm-4:00pm | Lecture - Title:TBA | Ahmed H. Tewfik (University of Minnesota) | Lind Hall 409 | SW6.29-7.31.09 |
| 4:00pm-5:00pm | Numerical methods for multi-dimensional systems of conservation laws. Lecture 2 | Chi-Wang Shu (Brown University) | EE/CS 3-180 | SP7.13-31.09 |
| 6:30pm-8:30pm | Social dinner for organizers and main speakers | W.A. Frost and Company | SP7.13-31.09 |
| All Day | Morning Chair: Constantine Dafermos
(Brown University) Afternoon Chair: Eduard Feireisl (Czech Academy of Sciences (AVČR)) | SP7.13-31.09 | ||
| All Day | Work on projects till afternoon. Lind Hall 400 3:00pm Excursion away from IMA. Location: TBA | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-10:15am | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 4 | Eduard Feireisl (Czech Academy of Sciences (AVČR)) | EE/CS 3-180 | SP7.13-31.09 |
| 10:15am-10:45am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 10:45am-12:00pm | Numerical methods for multi-dimensional systems of conservation laws. Lecture 3 | Chi-Wang Shu (Brown University) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-3:00pm | A tutorial on hyperbolic conservation laws. Lecture 3 | Alberto Bressan (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-5:00pm | Dynamics of viscous shock waves. Lecture 2: Verification of the Evans condition | Kevin Zumbrun (Indiana University) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Gui-Qiang Chen
(Northwestern University) Afternoon Chair: Alberto Bressan (Penn State University) | SP7.13-31.09 | ||
| All Day | 3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-10:15am | A tutorial on hyperbolic conservation laws. Lecture 4 | Alberto Bressan (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:15am-10:45am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 10:45am-12:00pm | Dynamics of viscous shock waves.
Lecture 3: Conditional stability and bifurcation | Kevin Zumbrun (Indiana University) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-3:00pm | TBA | Gui-Qiang G. Chen (Northwestern University) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-5:00pm | Numerical methods for multi-dimensional systems of conservation laws. Lecture 4 | Chi-Wang Shu (Brown University) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Chair: Marta Lewicka (University of Minnesota) | SP7.13-31.09 | ||
| All Day | No events scheduled. | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-10:15am | TBA | Gui-Qiang G. Chen (Northwestern University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:15am-10:45am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 10:45am-12:00pm | Dynamics of viscous shock waves.
Lecture 4: Multi-dimensional dynamics: flow in an infinite cylinder | Kevin Zumbrun (Indiana University) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | No scheduled activity | SP7.13-31.09 | ||
| All Day | No events scheduled. | SW6.29-7.31.09 |
| All Day | Morning Chair: Gui-Qiang G. Chen
(Northwestern University)
Afternoon Chair: Tai-Ping Liu (Stanford University) | SP7.13-31.09 | ||
| All Day | 9:00am Separate group meetings. Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Tai-Ping Liu (Stanford University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| Gasdynamic regularity and nondegeneracy: some classifying remarks | Liviu Florin Dinu (Romanian Academy of Sciences) | |||
| Non-uniqueness of entropy solutions and the carbuncle phenomenon | Volker Wilhelm Elling (University of Michigan) | |||
| Optimal nodal control of networked systems of conservation laws | Michael Herty (RWTH Aachen) | |||
| Stability of noncharacteristic viscous boundary layers | Toan Nguyen (Indiana University) | |||
| The Riemann problem for the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model | Olga Rozanova (Moscow State University) | |||
| Strong waves and vaccums in isentropic gas dynamics | Robin Young (University of Massachusetts) | |||
| Periodic solutions to the Euler equations | Robin Young (University of Massachusetts) | |||
| 11:00am-11:50am | Existence and stability of global solutions to shock reflection problem | Mikhail Feldman (University of Wisconsin) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | TBA | Cleopatra Christoforou (University of Houston) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion: Kinetic theory and gas dynamics | Tai-Ping Liu (Stanford University) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Mikhail Feldman
(University of Wisconsin) Afternoon Chair: Benoit Perthame (Université de Paris VI (Pierre et Marie Curie)) | SP7.13-31.09 | ||
| All Day | Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Benoit Perthame (Université de Paris VI (Pierre et Marie Curie)) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | TBA | Dehua Wang (University of Pittsburgh) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | TBA | David Hoff (Indiana University) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion: Coupling Hyperbolic and elliptic/parabolic systems: state of the art, open problems, new models | Benoit Perthame (Université de Paris VI (Pierre et Marie Curie)) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Marta Lewicka
(University of Minnesota) Afternoon Chair: Denis Serre (École Normale Supérieure de Lyon) | SP7.13-31.09 | ||
| All Day | Work on projects till afternoon. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Denis Serre (École Normale Supérieure de Lyon) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | TBA | Lev Truskinovsky (École Polytechnique) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | Two functionals for general hyperbolic conservation laws | Tong Yang (City University of Hong Kong) | EE/CS 3-180 | SP7.13-31.09 |
| 2:00pm-3:00pm | Lecture - Title:TBA | Vaughan R. Voller (University of Minnesota) | Lind Hall 409 | SW6.29-7.31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion | Denis Serre (École Normale Supérieure de Lyon) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Tong Yang
(City University of Hong Kong) Afternoon Chair: Nader Masmoudi (New York University) | SP7.13-31.09 | ||
| All Day | Work on projects till afternoon. Lind Hall 400 3:00pm Excursion away from IMA. Location: TBA | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Nader Masmoudi (New York University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | TBA | Philippe G. LeFloch (Université de Paris VI (Pierre et Marie Curie)) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | TBA | Marta Lewicka (University of Minnesota) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion: Free boundary problems related to water waves | Nader Masmoudi (New York University) | EE/CS 3-180 | SP7.13-31.09 |
| 6:30pm-8:30pm | Workshop dinner | Kikugawa at Riverplace | SP7.13-31.09 |
| All Day | Morning Chair: Helge Holden
(Norwegian University of Science and Technology (NTNU)) Afternoon Chair: Luigi Ambrosio (Scuola Normale Superiore) | SP7.13-31.09 | ||
| All Day | 3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Luigi Ambrosio (Scuola Normale Superiore) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | TBA | Stefano Bianchini (International School for Advanced Studies (SISSA/ISAS)) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | TBA | Michael Westdickenberg (Georgia Institute of Technology) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion | Luigi Ambrosio (Scuola Normale Superiore) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Chair: Athanasios Tzavaras (University of Maryland) | SP7.13-31.09 | ||
| All Day | No events scheduled. | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | Convergence of operator splitting for the KdV equation | Helge Holden (Norwegian University of Science and Technology (NTNU)) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | Well-posedness results for the transport equation, and applications to the chromatography system | Laura Valentina Spinolo (Scuola Normale Superiore) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | No scheduled activity. | SP7.13-31.09 | ||
| All Day | No events scheduled. | SW6.29-7.31.09 |
| All Day | Morning Chair: Alberto Bressan
(Penn State University) Afternoon Chair: Yuxi Zheng (Pennsylvania State University) | SP7.13-31.09 | ||
| All Day | 9:00am Separate group meetings. Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Yuxi Zheng (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | TBA | Feimin Huang (Chinese Academy of Sciences) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | TBA | Willi Jäger (Ruprecht-Karls-Universität Heidelberg) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion | Yuxi Zheng (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Barbara Keyfitz
(Ohio State University) Afternoon Chair: Athanasios Tzavaras (University of Maryland) | SP7.13-31.09 | ||
| All Day | Work all day on projects. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Athanasios Tzavaras (University of Maryland) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| Global BV for a model of granular flow | Wen Shen (Pennsylvania State University) | |||
| 11:00am-11:50am | Global BV for a model of granular flow | Wen Shen (Pennsylvania State University) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | TBA | Hermano Frid (Institute of Pure and Applied Mathematics (IMPA)) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion | Athanasios Tzavaras (University of Maryland) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: TBA
Afternoon Chair: James G. Glimm (SUNY) | SP7.13-31.09 | ||
| All Day | Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | James G. Glimm (SUNY) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | Charge transport in an incompressible fluid medium | Joseph W. Jerome (Northwestern University) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | Stability of rotating white dwarf stars | Tao Luo (Georgetown University) | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 3:00pm-4:00pm | Lecture - Title:TBA | Richard P. McGehee (University of Minnesota) | Lind Hall 409 | SW6.29-7.31.09 |
| 4:00pm-4:50pm | Discussion topic: Conservation laws in higher spatial dimensions: Euler vs. Navier-Stokes; theory and computation | James G. Glimm (SUNY) | EE/CS 3-180 | SP7.13-31.09 |
| All Day | Morning Chair: Joseph W. Jerome
(Northwestern University) Afternoon Chair: Suncica Canic (University of Houston) | SP7.13-31.09 | ||
| All Day | Work on projects. Lind Hall 400 Evaluations solicited. Lind Hall 400 4:30pm Final written report (LaTeX) and high quality poster due.Lind Hall 409 | SW6.29-7.31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:50am | TBA | Suncica Canic (University of Houston) | EE/CS 3-180 | SP7.13-31.09 |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 11:00am-11:50am | TBA | Alexis Frederic Vasseur (University of Texas) | EE/CS 3-180 | SP7.13-31.09 |
| 12:00pm-2:00pm | Lunch | SP7.13-31.09 | ||
| 2:00pm-2:50pm | Conservation laws on networks | Mauro Garavello (Università del Piemonte Orientale "Amedeo Avogadro") | EE/CS 3-180 | SP7.13-31.09 |
| 3:00pm-4:00pm |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 4:00pm-4:50pm | Discussion | Suncica Canic (University of Houston) | EE/CS 3-180 | SP7.13-31.09 |
| 6:30pm-8:30pm | Workshop dinner | TBA | SP7.13-31.09 |
| All Day | Research Conference on results | SW6.29-7.31.09 | ||
| All Day | Chair: TBA | SP7.13-31.09 | ||
| 8:30am-9:00am | Coffee | EE/CS 3-176 | SP7.13-31.09 | |
| 9:00am-9:30am | Objective Structures | Lind Hall 409 | SW6.29-7.31.09 | |
| 9:00am-9:50am | Well posedness and control in models based on conservation laws | Rinaldo Mario Colombo (Università di Brescia) | EE/CS 3-180 | SP7.13-31.09 |
| 9:30am-10:00am | Solar Cell Results | Lind Hall 409 | SW6.29-7.31.09 | |
| 10:00am-11:00am |
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions | EE/CS 3-176 | SP7.13-31.09 | |
| 10:00am-10:30am | Break | Lind Hall 400 | SW6.29-7.31.09 | |
| 10:30am-11:00am | Clusters | Lind Hall 409 | SW6.29-7.31.09 | |
| 11:00am-11:50am | TBA | Barbara Keyfitz (Ohio State University) | EE/CS 3-180 | SP7.13-31.09 |
| 11:00am-11:10am | Closing | Lind Hall 409 | SW6.29-7.31.09 | |
| 11:50am-12:00pm | Closing Remarks | EE/CS 3-180 | SP7.13-31.09 |
Event Legend: |
|
| ND6.15-26.09 | Applied Algebraic Topology |
| PISG6.15-7.3.09 | The Mathematics of Inverse Problems |
| SP7.13-31.09 | Nonlinear Conservation Laws and Applications |
| SW6.29-7.31.09 | IMA Interdisciplinary Research Experience for Undergraduates |
| Henry H. Adams (Stanford University) | Topological data analysis: Understanding optical flow |
| Abstract: No Abstract | |
| Henry H. Adams (Stanford University) | Introduction to Jplex |
| Abstract: No Abstract | |
| Alberto Bressan (Pennsylvania State University) | A tutorial on hyperbolic conservation laws. Lecture 1 |
Abstract: This set of lectures will provide a basic introduction to
hyperbolic systems of conservation laws in one space dimension.
The main topics covered will be:
|
|
| Alberto Bressan (Pennsylvania State University) | A tutorial on hyperbolic conservation laws. Lecture 2 |
| Abstract: Same abstract as lecture 1. | |
| Alberto Bressan (Pennsylvania State University) | A tutorial on hyperbolic conservation laws. Lecture 3 |
| Abstract: Same abstract as lecture 1. | |
| Alberto Bressan (Pennsylvania State University) | A tutorial on hyperbolic conservation laws. Lecture 4 |
| Abstract: Same abstract as lecture 1. | |
| Gunnar Carlsson (Stanford University) | "Applied topology: motivations from data" point-set topology intro motivations from data, statistics, biology, etc. |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Homology 1" intro to homology simplicial, cellular, cech, & more: simple applications |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Computing homology 2: practice" intro to algorithms/software; plex |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Spaces 1: complexes" cech, v-rips, witnesses, alpha, etc. & uses in data |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Visualizing data via homology" image statistics data, range patches, neuroscience |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Persistence and point clouds" Functoriality, diagrams, difficulties in classifying diagrams, multidimensional persistence, Gröbner bases |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Zig-zags and statistics" bootstrap method, zig-zag persistence, other applications of zig-zag persistence |
| Abstract: No Abstract | |
| Gunnar Carlsson (Stanford University) | "Imaging data sets" linear regression, projection pursuit, multidimensional scaling as methods of imaging data sets |
| Abstract: No Abstract | |
| Fred Cohen (University of Rochester) | Gait states for a torus and a disk: "How to talk with robots" |
| Abstract: No Abstract | |
| Fred Cohen (University of Rochester) | Naive counting with sensors |
| Abstract: No Abstract | |
| Rinaldo Mario Colombo (Università di Brescia) | Well posedness and control in models based on conservation laws |
| Abstract: Given a model based on a conservation law, we study how the solution depends from the initial/boundary datum, from the flow and from various constraints. With this tool, several control problems can be addressed and the existence of an optimal control can be proved. Models describing escape dynamics of pedestrians, traffic at toll gates, open canals management and fluid flow in gas pipelines fall within this framework. In particular, a necessary condition for optimality is obtained, which applies to a supply chain model. | |
| Liviu Florin Dinu (Romanian Academy of Sciences) | Gasdynamic regularity and nondegeneracy: some classifying remarks |
| Abstract: We consider two gasdynamic contexts: an isentropic context and, respectively, an anisentropic context of a special type. Some [multidimensional] classes of regular solutions [simple waves solutions and regular interactions of simple waves solutions] can be constructively associated to the isentropic context, in presence of an ad hoc requirement of genuine nonlinearity, via a Burnat type ["algebraic"] approach [centered on a duality connection between the hodograph character and the physical character]. The "algebraic" construction fails generally [for geometrical and/or physical reasons] in the mentioned anisentropic context. Incidentally, in this case the "algebraic" construction can be replaced by a Martin type ["differential"] approach [centered on a Monge-Ampere type representation]. Some classes [unsteady 1D; steady supersonic] of regular solutions [pseudo simple waves solutions, regular interactions of pseudo simple waves solutions] can be constructed in this case via a "linearized" version of the "differential" approach. Some contrasts and consonances are considered, in a classifying parallel, between the two approaches ["algebraic", "differential"] and the two classes [isentropic, anisentropic] of regular solutions respectively associated. This is a joint work with Marina Ileana Dinu. | |
| Volker Wilhelm Elling (University of Michigan) | Non-uniqueness of entropy solutions and the carbuncle phenomenon |
| Abstract: In one space dimension, the Godunov scheme can only converge to entropy solutions, for which uniqueness theorems in various classes are known. We present an example in 2d where the Godunov scheme converges, depending on the grid, either to an exact entropy solution or to a second, numerical solution, which is also produced by all other numerical schemes tested. We propose that entropy solutions are not unique in 2d. The observation also yields an explanation for the "carbuncle phenomenon", an instability in numerical calculations of shock waves. Thus fundamental consequences both for numerics and theory. | |
| Eduard Feireisl (Czech Academy of Sciences (AVČR)) | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 1 |
Abstract: Singular limits in the theory of partial differential equations
represent a class of problems, where some parameters in the equations become
small or infinitely large. We discuss the singular limits arising in the scale
analysis of energetically isolated fluid systems. In particular,
the following topics are addressed:
|
|
| Eduard Feireisl (Czech Academy of Sciences (AVČR)) | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 2 |
| Abstract: Same abstract as lecture 1. | |
| Eduard Feireisl (Czech Academy of Sciences (AVČR)) | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 3 |
| Abstract: Same abstract as lecture 1. | |
| Eduard Feireisl (Czech Academy of Sciences (AVČR)) | Asymptotic analysis in thermodynamics of viscous fluids. Lecture 4 |
| Abstract: Same abstract as lecture 1. | |
| Mikhail Feldman (University of Wisconsin) | Existence and stability of global solutions to shock reflection problem |
| Abstract: In this talk we will start with discussion of shock reflection phenomena. Then we describe recent results on existence and stability of global solutions to regular shock reflection for potential flow for all wedge angles up to the sonic angle, and discuss the techniques. The approach is to reduce the shock reflection problem to a free boundary problem for a nonlinear elliptic equation, with ellipticity degenerate near a part of the boundary (the sonic arc). We will discuss techniques to handle such free boundary problems and degenerate elliptic equations. This is a joint work with Gui-Qiang Chen. | |
| Mauro Garavello (Università del Piemonte Orientale "Amedeo Avogadro") | Conservation laws on networks |
| Abstract: In this talk we consider a conservation law (or a system of conservation laws) on a network consisting in a finite number of arcs and vertices. This setting is justified by various applications, such as car traffic, gas pipelines, data networks, supply chains, blood circulation and so on. The key point in the extension of conservation laws on networks is to define solutions at vertices. Indeed, it is sufficient to define solutions only for Riemann problems at vertices, i.e. Cauchy problems with constant initial data in each arc of the junction. We present some different possibilities to produce solutions to Riemann problems at vertices. Moreover we consider the general Cauchy problem on the network. We explain how to prove existence of a solution both in the scalar case and in the case of systems. In particular, for the scalar case, we introduce general properties on Riemann solvers at vertices, which permit to have existence of solutions for the Cauchy problem. | |
| Robert Ghrist (University of Pennsylvania) | "Applied topology: motivations from systems" euler characteristic intro motivations from networks, sensors, robotics, etc. |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | "Homology 2" morse, morse-conley, hodge & more: simple applications |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | "Computing homology 1: theory" intro to exact sequences |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | Sensor networks and coverage |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | "Network coverage via homology" coverage in sensor networks |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | "Sheaves and Euler integration" Euler integration and target enumeration |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | "Topological signal processing" target localization; integral transforms and euler calculus |
| Abstract: No Abstract | |
| Robert Ghrist (University of Pennsylvania) | "Unimodal decompositions" lyusternik-schnirelman category; unimodal category and mode-decomposition in statistics; applications to coordinate-free data |
| Abstract: No Abstract | |
| Michael Herty (RWTH Aachen) | Optimal nodal control of networked systems of conservation laws |
| Abstract: In applications of flow in gas and water networks the 1d p-system is used to describe the flow in pipes. The dynamics of each pipe is coupled at a node through coupling conditions inducing boundary conditions. We study the well-posedness of these initial boundary value problems of 2×2 balance laws for a set of general possibly time-dependent coupling conditions. | |
| Helge Holden (Norwegian University of Science and Technology (NTNU)) | Convergence of operator splitting for the KdV equation |
| Abstract: We consider the KdV equation used for modeling, e.g., water waves in a narrow channel. The time evolution is described by a quadratic (Burgers') plus a linear (Airy) term. Since the evolution of each of these terms is quite different, it is natural to ask whether the concatenation of the evolution operators for each term yields an approximation to the evolution operator for the sum. This strategy has been used with good results when designing numerical methods for the KdV equation, but without rigourous convergence proofs. The aim of this talk is to present a first step in this direction, and show convergence of operator splitting for sufficiently regular initial data. (Joint work with N. H. Risebro, K. H. Karlsen, T. Tao.) | |
| Volkan Isler (University of Minnesota) | The role of information in pursuit evasion: Graph theoretic models |
| Abstract: No Abstract | |
| Joseph W. Jerome (Northwestern University) | Charge transport in an incompressible fluid medium |
| Abstract: Conservation laws, together with the Gauss law for electrostatics, have been used to model charge transport in solid state semiconductors and in electrolytes for several decades. The determination of the current density is an important aspect of the modeling. In applications to ion channels, and to electrodiffusion more generally, there has been recent interest in the effects of the ambient fluid on current density. We discuss the mathematical model for this case: the Poisson-Nernst-Planck/Navier-Stokes model. The Cauchy problem was investigated by the speaker in [Transport Theory Statist. Phys. 31 (2002), 333--366], where a local existence-uniqueness theory was demonstrated, based upon Kato's framework for evolution equations. In this talk, the proof of existence of a global distribution solution for the model is discussed, in the case of the initial-boundary value problem. Connection of the above analysis to significant applications is also discussed. | |
| William D. Kalies (Florida Atlantic University) | Verified homology of nodal domains |
| Abstract: No Abstract | |
| William D. Kalies (Florida Atlantic University) | Computational Conley theory |
| Abstract: No Abstract | |
| Tao Luo (Georgetown University) | Stability of rotating white dwarf stars |
| Abstract: I will present some results on the existence and nonlinear stability for the rotating star solutions which are axi-symmetric steady-state solutions of the compressible isentropic Euler-Poisson equations in 3 spatial dimensions. We then apply these results to rotating white dwarf stars to show its dynamical stability when the total mass is less than a critical mass, which is related to the "Chandrasekhar"limit in astrophysics. This is a joint work with Joel Smoller. | |
| Toan Nguyen (Indiana University) | Stability of noncharacteristic viscous boundary layers |
| Abstract: We present our recent results on one- and multi-dimensional asymptotic stability of noncharacteristic boundary layers in gas dynamics (or a more general class of hyperbolic--parabolic systems) with suction- or blowing-type boundary conditions. The linearized and nonlinear stability is established for layers with arbitrary amplitudes, under the assumption of strong spectral, or uniform Evans, stability. The latter assumption has been verified for small-amplitude layers in one-d case by various authors using energy estimates and in multi-d case by Guès, Métivier, Williams, and Zumbrun. For large-amplitude layers, it may be efficiently checked numerically by a combination of asymptotic ODE estimates and numerical Evans function computations. This is a joint work with Kevin Zumbrun. | |
| Olga Rozanova (Moscow State University) | The Riemann problem for the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model |
| Abstract: Proceeding from the method of stochastic perturbation of a Langevin system associated with the non-viscous Burgers equation we construct a solution to the Riemann problem for the pressureless gas dynamics and sticky particles system. We analyze the difference in the behavior of discontinuous solution for these two models and relations between them. | |
| Wen Shen (Pennsylvania State University) | Global BV for a model of granular flow |
| Abstract: We consider a model for the flow of granular matter which was proposed by Hadeler and Kuttler (Granular Matter, 1999). The original model uses the height of the standing layer and the thickness of the moving layer as the unknowns. By introducing the slope the standing layer, one arrives at a 2 by 2 system of balance laws. This system is weakly linearly degenerate at a point. With suitable conditions on the initial data, one can prove the global existence of smooth solutions. Furthermore, we prove the global existence of large BV solutions, for a class of initial data with bounded but possibly large total variation. This is partly a joint work with Debora Amadori, Italy. | |
| Wen Shen (Pennsylvania State University) | Global BV for a model of granular flow |
| Abstract: Same abstract as the talk. | |
| Chi-Wang Shu (Brown University) | Numerical methods for multi-dimensional systems of conservation laws. Lecture 1 |
| Abstract: In this course we will give an introduction to conservative short capturing numerical methods for solving multi-dimensional systems of conservation laws. High order accurate finite difference, finite volume and discontinuous Galerkin finite element methods will be covered. We will start with the basic algorithm issues in a simple scalar one dimensional setting and then describe the generalization to multi-dimensional systems. A comparison among these different numerical methods will be provided. | |
| Chi-Wang Shu (Brown University) | Numerical methods for multi-dimensional systems of conservation laws. Lecture 2 |
| Abstract: Same abstract as lecture 1. | |
| Chi-Wang Shu (Brown University) | Numerical methods for multi-dimensional systems of conservation laws. Lecture 3 |
| Abstract: Same abstract as lecture 1. | |
| Chi-Wang Shu (Brown University) | Numerical methods for multi-dimensional systems of conservation laws. Lecture 4 |
| Abstract: Same abstract as lecture 1. | |
| Laura Valentina Spinolo (Scuola Normale Superiore) | Well-posedness results for the transport equation, and applications to the chromatography system |
| Abstract: The talk will be based on a joint work with L. Ambrosio, G. Crippa and A. Figalli. First, some new well-posedness results for continuity and transport equations with weakly differentiable velocity fields will be discussed. These results can be applied to the analysis of a 2 x 2 system of conservation laws in one space dimension known as the chromatography system, leading to global existence and uniqueness results for suitable classes of entropy admissible solutions. | |
| Tong Yang (City University of Hong Kong) | Two functionals for general hyperbolic conservation laws |
| Abstract: For one dimensional hyperbolic conservation laws with small total variation, the functional approach has been shown to be robust for the study on the well-posedness theory. In this talk, we will present two functionals for general hyperbolic systems. One is a new Glimm functional which generalizes the classical Glimm functional for systems whose characteristics are either genuinely nonlinear or linearly degenerate so that the consistency and the optimal convergence rate of the Glimm scheme can be proved neatly for general systems. Another functional is about the generalized entropy functional in the general setting. Some thoughts and constructions are given by the motivation of the above new Glimm functional. | |
| Robin Young (University of Massachusetts) | Strong waves and vaccums in isentropic gas dynamics |
| Abstract: We give a complete description of nonlinear waves and their pairwise interactions in isentropic gas dynamics. Our analysis includes rarefactions, compressions and shock waves. We describe the interaction in terms of a reference state and incident wave strengths, and give explicit estimates of the outgoing wave strengths. Our estimates are global in that they apply to waves of arbitrary strength, and they are uniform in the incoming reference state. In particular, the estimates continue to hold as this state approaches vacuum. We also consider composite interactions, which can be regarded as a degenerate superposition of pairwise interactions. We construct a class of exact weak solutions which demonstrate some interesting and surprising features of interactions, and use these to demonstrate the collapse of a vacuum: in most cases two shocks will emerge from the vacuum, but in certain asymmetric cases a single shock and a rarefaction may emerge. | |
| Robin Young (University of Massachusetts) | Periodic solutions to the Euler equations |
| Abstract: Joint work with Blake Temple. In this ongoing collaboration with Blake Temple, we attempt to prove the existence of periodic solutions to the Euler equations of gas dynamics. Such solutions have long been thought not to exist due to shock formation, and this is confirmed by the celebrated Glimm-Lax decay theory for 2×2 systems. However, in the full 3×3 system, multiple interaction effects can combine to slow down and prevent shock formation. We describe the physical mechanism supporting periodicity, analyze combinatorics of simple wave interactions, and develop periodic solutions to a "linearized" problem. These linearized solutions have a beautiful structure and exhibit several surprising and fascinating phenomena. We then consider perturbing these as a bifurcation problem, which leads us to problems of small divisors and KAM theory. As an intermediate step, we find solutions which are periodic to within arbitrarily high Fourier modes. | |
| Kevin Zumbrun (Indiana University) | Dynamics of viscous shock waves. Lecture 1: Stability of viscous shock waves |
| Abstract: Course abstract: We examine from a classical dynamical systems point of view stability, dynamics, and bifurcation of viscous shock waves and related solutions of nonlinear pde. Lecture 1 abstract: Stability of viscous shock waves. We discuss the basic types of viscous shock waves, the Evans function condition and its meaning, and outline a basic one-dimensional stability proof assuming that the Evans condition holds. | |
| Kevin Zumbrun (Indiana University) | Dynamics of viscous shock waves. Lecture 2: Verification of the Evans condition |
| Abstract: Using a combination of numerical Evans function computations and asymptotic ODE analysis, we carry out global stability analyses for interesting examples including ideal gas and parallel MHD shocks, across the entire range of physical parameters: in particular, in the large amplitude or magnetic field limit. | |
| Kevin Zumbrun (Indiana University) | Dynamics of viscous shock waves.
Lecture 3: Conditional stability and bifurcation |
| Abstract: Elaborating on the basic stability theory, we examine conditional stability and Hopf bifurcation of possibly unstable viscous shock waves. | |
| Kevin Zumbrun (Indiana University) | Dynamics of viscous shock waves.
Lecture 4: Multi-dimensional dynamics: flow in an infinite cylinder |
| Abstract: We discuss finally stability and bifurcation of flow in a channel with periodic boundary conditions: cellular bifurcation, pattern formation, and an Evans function construction for genuinely multi-dimensional (i.e., nonplanar) solutions. | |
| Carlo Adamo | École Nationale Supérieure de Chimie de Paris | 4/3/2009 - 6/27/2009 |
| Henry H. Adams | Stanford University | 6/13/2009 - 6/27/2009 |
| Donald G. Aronson | University of Minnesota | 9/1/2002 - 8/31/2009 |
| Nils A. Baas | Norwegian University of Science and Technology (NTNU) | 6/14/2009 - 6/25/2009 |
| Lorena Barba | Boston University | 6/21/2009 - 6/25/2009 |
| Brian Bies | Washington University | 5/26/2009 - 8/7/2009 |
| William Blair | Northern Illinois University | 6/11/2009 - 6/13/2009 |
| Albert Boggess | Texas A & M University | 6/11/2009 - 6/13/2009 |
| Olus N. Boratav | Corning Incorporated | 6/11/2009 - 6/13/2009 |
| Peter Brune | University of Chicago | 9/8/2008 - 6/9/2009 |
| Maria-Carme T. Calderer | University of Minnesota | 9/1/2008 - 6/30/2009 |
| Hannah Callender | University of Minnesota | 9/1/2007 - 8/14/2009 |
| Gunnar Carlsson | Stanford University | 6/14/2009 - 6/26/2009 |
| Xianjin Chen | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Eungchun Cho | Kentucky State University | 6/14/2009 - 6/26/2009 |
| Jer-Chin (Luke) Chuang | Duke University | 6/14/2009 - 6/26/2009 |
| Ilaria Ciofini | École Nationale Supérieure de Chimie de Paris | 4/3/2009 - 6/27/2009 |
| Fred Cohen | University of Rochester | 6/17/2009 - 6/20/2009 |
| Peter Collins | University of Bristol | 6/10/2009 - 6/19/2009 |
| Kathryn Dabbs | University of Tennessee | 6/28/2009 - 7/31/2009 |
| Domenico D'Alessandro | Iowa State University | 6/14/2009 - 6/26/2009 |
| Isabel K. Darcy | University of Iowa | 6/11/2009 - 6/13/2009 |
| Isabel K. Darcy | University of Iowa | 6/13/2009 - 6/26/2009 |
| Lori Diachin | Lawrence Livermore National Laboratory | 6/11/2009 - 6/12/2009 |
| Brenda L. Dietrich | IBM | 6/11/2009 - 6/12/2009 |
| Daniel Dix | University of South Carolina | 1/1/2009 - 6/30/2009 |
| Milka Nikolaeva Doktorova | Mount Holyoke College | 6/28/2009 - 7/31/2009 |
| Olivier Dubois | University of Minnesota | 9/3/2007 - 8/31/2009 |
| Robert S. Eisenberg | Rush University Medical Center | 6/15/2009 - 6/18/2009 |
| Selim Esedoglu | University of Michigan | 6/11/2009 - 6/13/2009 |
| Gregory Ezra | Cornell University | 6/11/2009 - 6/20/2009 |
| Ariel Fernandez | Rice University | 6/5/2009 - 6/9/2009 |
| Daniel Flath | Macalester College | 6/29/2009 - 7/31/2009 |
| Joseph Fox | Salem State College | 6/14/2009 - 6/26/2009 |
| Christopher Fraser | University of Chicago | 8/27/2008 - 6/30/2009 |
| Robert Ghrist | University of Pennsylvania | 6/14/2009 - 6/26/2009 |
| Albert Gilg | Siemens | 6/11/2009 - 6/13/2009 |
| Datta Godbole | Honeywell | 6/12/2009 - 6/12/2009 |
| Dhruv Goel | University of Minnesota | 6/29/2009 - 7/31/2009 |
| Eduardo Gonzalez | University of Massachusetts | 6/14/2009 - 6/26/2009 |
| Diane Henderson | Pennsylvania State University | 6/11/2009 - 6/13/2009 |
| Bruce Hendrickson | Sandia National Laboratories | 6/11/2009 - 6/12/2009 |
| Mark S. Herman | University of Minnesota | 9/1/2008 - 6/30/2009 |
| Peter Hinow | University of Minnesota | 9/1/2007 - 8/21/2009 |
| Anil N. Hirani | University of Illinois at Urbana-Champaign | 6/14/2009 - 6/26/2009 |
| Quang Manh Hoang | Princeton University | 6/14/2009 - 6/27/2009 |
| Valerie Hower | University of California, Berkeley | 6/14/2009 - 6/26/2009 |
| Bei Hu | University of Notre Dame | 6/11/2009 - 6/13/2009 |
| Yunkyong Hyon | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Volkan Isler | University of Minnesota | 6/15/2009 - 6/19/2009 |
| Mark Iwen | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Alexander Izzo | Bowling Green State University | 9/1/2008 - 6/30/2009 |
| Farhad Jafari | University of Wyoming | 6/11/2009 - 6/13/2009 |
| Arthur A Jamshidi | Imperial College London | 6/14/2009 - 6/27/2009 |
| Srividhya Jeyaraman | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Lijian Jiang | University of Minnesota | 9/1/2008 - 8/31/2010 |
| William D. Kalies | Florida Atlantic University | 6/21/2009 - 6/26/2009 |
| Anthony José Kearsley | National Institute of Standards and Technology | 6/11/2009 - 6/13/2009 |
| Markus Keel | University of Minnesota | 7/21/2008 - 6/30/2009 |
| Stephen Keeler | Boeing | 6/11/2009 - 6/13/2009 |
| Steve Kennedy | Carleton College | 6/11/2009 - 6/13/2009 |
| Barbara Keyfitz | Ohio State University | 6/11/2009 - 6/13/2009 |
| DongSu Kim | Korea Advanced Institute of Science and Technology (KAIST) | 6/11/2009 - 6/15/2009 |
| Erica Zimmer Klampfl | Ford | 6/11/2009 - 6/13/2009 |
| Eric J. Kostelich | Arizona State University | 6/11/2009 - 6/13/2009 |
| Don Kreher | Michigan Technological University | 6/11/2009 - 6/13/2009 |
| Bala Krishnamoorthy | Washington State University | 6/14/2009 - 6/26/2009 |
| Rama Kunapuli | Entys Inc., | 6/14/2009 - 6/26/2009 |
| Chiun-Chang Lee | National Taiwan University | 8/26/2008 - 8/24/2010 |
| Suzanne Lenhart | University of Tennessee | 6/11/2009 - 6/13/2009 |
| Gilad Lerman | University of Minnesota | 6/29/2009 - 7/31/2009 |
| Xin Li | University of Central Florida | 6/11/2009 - 6/13/2009 |
| Yongfeng Li | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Tai-Chia Lin | National Taiwan University | 8/23/2008 - 7/31/2009 |
| Chun Liu | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Martin Wen-Yu Lo | National Aeronautics and Space Administration (NASA) | 6/14/2009 - 6/26/2009 |
| Mitchell Luskin | University of Minnesota | 9/1/2008 - 6/30/2009 |
| Suping Lyu | Medtronic | 6/12/2009 - 6/12/2009 |
| Yi Mao | Michigan State University | 6/14/2009 - 6/26/2009 |
| Vasileios Maroulas | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Ryan Martin | Iowa State University | 6/11/2009 - 6/13/2009 |
| Kevin W. Mclaughlin | University of Wisconsin - River Falls | 1/6/2009 - 6/30/2009 |
| Amelia Ahlers McNamara | Macalester College | 6/28/2009 - 7/31/2009 |
| Michael Meaden | Elmhurst College | 6/28/2009 - 7/31/2009 |
| Sergio Manuel Moco Nunes Mendes | Institutio Superior de Ciências do Trabalho e da Empresa | 6/14/2009 - 6/26/2009 |
| Washington Mio | Florida State University | 6/14/2009 - 6/25/2009 |
| Abdul Rehaman Moughal Shahi | Université de Genève | 2/2/2009 - 6/25/2009 |
| Uwe Nagel | University of Kentucky | 6/11/2009 - 6/13/2009 |
| Junalyn Navarra-Madsen | Texas Woman's University | 6/16/2009 - 6/26/2009 |
| Peter J. Olver | University of Minnesota | 6/12/2009 - 6/12/2009 |
| John Oprea | Cleveland State University | 6/14/2009 - 6/26/2009 |
| Aloizio Pereira da Silva | Federal University of Minas Gerais | 6/13/2009 - 6/27/2009 |
| Craig T. Poling | Lockheed Martin | 6/12/2009 - 6/12/2009 |
| Haibo Ruan | Universität Hamburg | 6/14/2009 - 6/27/2009 |
| Fadil Santosa | University of Minnesota | 7/1/2008 - 6/30/2010 |
| Peter Saveliev | Marshall University | 6/14/2009 - 6/26/2009 |
| Karen Saxe | Macalester College | 6/12/2009 - 6/12/2009 |
| Arnd Scheel | University of Minnesota | 9/1/2008 - 6/30/2009 |
| Gilberto F. Schleiniger | University of Delaware | 6/11/2009 - 6/13/2009 |
| L. Ridgway Scott | University of Chicago | 9/1/2008 - 6/30/2009 |
| Jordan Richard Seering | University of Minnesota | 6/28/2009 - 7/31/2009 |
| Jan Segert | University of Missouri | 6/14/2009 - 6/26/2009 |
| Tsvetanka Sendova | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Chehrzad Shakiban | University of Minnesota | 6/12/2009 - 6/13/2009 |
| Yuk Sham | University of Minnesota | 9/1/2008 - 6/30/2009 |
| David H. Sharp | Los Alamos National Laboratory | 6/11/2009 - 6/13/2009 |
| Robert D. Skeel | Purdue University | 3/29/2009 - 6/27/2009 |
| Richard Sowers | University of Illinois at Urbana-Champaign | 6/11/2009 - 6/12/2009 |
| Huan Sun | Pennsylvania State University | 2/5/2009 - 6/10/2009 |
| Alice Tibbetts | University of Minnesota | 6/12/2009 - 6/12/2009 |
| Donald G. Truhlar | University of Minnesota | 9/1/2008 - 6/30/2009 |
| Erkan Tüzel | University of Minnesota | 9/1/2007 - 8/7/2009 |
| Steven M. Valone | Los Alamos National Laboratory | 5/7/2009 - 6/8/2009 |
| Eric van den Berg | Telcordia | 6/11/2009 - 6/13/2009 |
| Erik I Verriest | Georgia Institute of Technology | 6/14/2009 - 6/26/2009 |
| Maria Vivien Vallente Visaya | Ateneo de Manila University | 6/14/2009 - 6/26/2009 |
| Dehua Wang | University of Pittsburgh | 6/11/2009 - 6/13/2009 |
| Zhian Wang | University of Minnesota | 9/1/2007 - 8/31/2009 |
| Klaus D. Wiegand | ExxonMobil | 6/11/2009 - 6/13/2009 |
| Stephen Wiggins | University of Bristol | 1/10/2009 - 6/30/2009 |
| Wei Xiong | University of Minnesota | 9/1/2008 - 8/31/2010 |
| Xiang Xu | Pennsylvania State University | 1/26/2009 - 6/1/2009 |
| Yi Zeng | University of Illinois at Urbana-Champaign | 6/28/2009 - 7/31/2009 |
| Yin Zhang | Rice University | 6/11/2009 - 6/13/2009 |
| Weigang Zhong | University of Minnesota | 9/8/2008 - 8/31/2010 |
| Paul Zorn | St. Olaf College | 6/12/2009 - 6/12/2009 |
| Hao Zou | Macalester College | 6/28/2009 - 7/31/2009 |
| Kevin Zumbrun | Indiana University | 6/11/2009 - 6/13/2009 |