Web: http://www.ima.umn.edu | Email: ima-staff@ima.umn.edu | Telephone: (612) 624-6066 | Fax: (612) 626-7370
Additional newsletters available at http://www.ima.umn.edu/newsletters

IMA Newsletter #392

June 2009

2008-2009 Program

Mathematics and Chemistry

See http://www.ima.umn.edu/2008-2009 for a full description of the 2008-2009 program on Mathematics and Chemistry.

News and Notes

IMA Events

Applied Algebraic Topology

June 15-26, 2009

Speakers: Gunnar Carlsson (Stanford University), Fred Cohen (University of Rochester), Robert Ghrist (University of Pennsylvania), William D. Kalies (Florida Atlantic University)

PI Summer Graduate Program

The Mathematics of Inverse Problems

June 15 - July 3, 2009

Organizers: Fioralba Cakoni (University of Delaware), David L. Colton (University of Delaware), Russell Luke (University of Delaware), Peter Monk (University of Delaware), R Rakesh (University of Delaware)

IMA Workshop

IMA Interdisciplinary Research Experience for Undergraduates

June 29 - July 31, 2009

Organizers: Daniel Flath (Macalester College)
Schedule

Monday, June 1

10:45am-11:15amCoffee breakLind Hall 400

Tuesday, June 2

10:45am-11:15amCoffee breakLind Hall 400

Wednesday, June 3

10:45am-11:15amCoffee breakLind Hall 400

Thursday, June 4

10:45am-11:15amCoffee breakLind Hall 400
1:00pm-2:00pmReading group for Professor Ridgway Scott's book "Digital Biology"L. Ridgway Scott (University of Chicago)Lind Hall 409

Friday, June 5

10:45am-11:15amCoffee breakLind Hall 400

Monday, June 8

10:45am-11:15amCoffee breakLind Hall 400

Tuesday, June 9

10:45am-11:15amCoffee breakLind Hall 400

Wednesday, June 10

10:45am-11:15amCoffee breakLind Hall 400

Thursday, June 11

10:45am-11:15amCoffee breakLind Hall 400

Friday, June 12

All Day2009 IMA Participating Institution Council/Industrial Advisory Board joint meeting
10:45am-11:15amCoffee breakLind Hall 400

Monday, June 15

All DayMotivations ND6.15-26.09
All DayIMA 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-8:45amRegistration and coffeeLind Hall 400 ND6.15-26.09
8:45am-9:00amWelcome to the IMAFadil 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-11:00amCoffeeLind 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-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmUMN robotics mixerWalter 402 ND6.15-26.09
3:30pm-3:40pmGroup photo ND6.15-26.09
3:45pm-5:00pmReceptionLind Hall 400 ND6.15-26.09

Tuesday, June 16

All DayTools ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Homology 1" intro to homology simplicial, cellular, cech, & more: simple applicationsGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind Hall 400 ND6.15-26.09
11:00am-12:30pm"Homology 2" morse, morse-conley, hodge & more: simple applicationsRobert Ghrist (University of Pennsylvania)Lind Hall 409 ND6.15-26.09
12:30pm-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmThe role of information in pursuit evasion: Graph theoretic modelsVolkan Isler (University of Minnesota)Lind Hall 409 ND6.15-26.09

Wednesday, June 17

All DayComputation ND6.15-26.09
8:30am-9:00amCoffeeLind 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-11:00amCoffeeLind 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-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmIntroduction to JplexHenry H. Adams (Stanford University)Lind Hall 409 ND6.15-26.09

Thursday, June 18

All DayComplexes ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Spaces 1: complexes" cech, v-rips, witnesses, alpha, etc. & uses in dataGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind Hall 400 ND6.15-26.09
11:00am-12:30pmSensor networks and coverageRobert Ghrist (University of Pennsylvania)Lind Hall 409 ND6.15-26.09
12:30pm-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmGait 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-8:30pmWorkshop dinner at Kafe 421Kafe 421
421 14th Avenue SE
Minneapolis, MN 55414
612-623-4900
ND6.15-26.09

Friday, June 19

All DayExamples ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Visualizing data via homology" image statistics data, range patches, neuroscienceGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind 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-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmNaive counting with sensorsFred Cohen (University of Rochester)Lind Hall 409 ND6.15-26.09

Saturday, June 20

All DayNo events scheduled. ND6.15-26.09

Sunday, June 21

All DayNo events scheduled. ND6.15-26.09

Monday, June 22

All DaySensors ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Sheaves and Euler integration" Euler integration and target enumerationRobert Ghrist (University of Pennsylvania)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind Hall 400 ND6.15-26.09
11:00am-12:30pm"Topological signal processing" target localization; integral transforms and euler calculusRobert Ghrist (University of Pennsylvania)Lind Hall 409 ND6.15-26.09
12:30pm-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmTopological data analysis: Understanding optical flowHenry H. Adams (Stanford University)Lind Hall 409 ND6.15-26.09

Tuesday, June 23

All DayData ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Persistence and point clouds" Functoriality, diagrams, difficulties in classifying diagrams, multidimensional persistence, Gröbner basesGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind Hall 400 ND6.15-26.09
11:00am-12:30pm"Zig-zags and statistics" bootstrap method, zig-zag persistence, other applications of zig-zag persistenceGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
12:30pm-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmVerified homology of nodal domainsWilliam D. Kalies (Florida Atlantic University)Lind Hall 409 ND6.15-26.09

Wednesday, June 24

All DayStatistics ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Imaging data sets" linear regression, projection pursuit, multidimensional scaling as methods of imaging data setsGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind 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 dataRobert Ghrist (University of Pennsylvania)Lind Hall 409 ND6.15-26.09
12:30pm-2:00pmLunch ND6.15-26.09
2:00pm-3:30pmComputational Conley theoryWilliam D. Kalies (Florida Atlantic University)Lind Hall 409 ND6.15-26.09

Thursday, June 25

All DayComputation & Software ND6.15-26.09
8:30am-9:00amCoffeeLind Hall 400 ND6.15-26.09
9:00am-10:30am"Mapper for mapping" mapper as an imager. Importance of mapping. Applications of homology to mappingGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09
10:30am-11:00amCoffeeLind 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-2:30pmLunch ND6.15-26.09
2:30pm-3:30pmIntroduction to homotopy limits and colimitsGunnar Carlsson (Stanford University)Lind Hall 409 ND6.15-26.09

Friday, June 26

All DayFuture Directions ND6.15-26.09
8:30am-9:00amCoffeeLind 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-10:30amCoffeeLind 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-12:00pmClosing discussionsLind Hall 409 ND6.15-26.09

Monday, June 29

8:15am-9:00amRegistration and coffeeLind Hall 400 SW6.29-7.31.09
9:00am-9:15amWelcome to the IMAFadil Santosa (University of Minnesota)Lind Hall 409 SW6.29-7.31.09
9:15am-10:00amIntro to objective structures (for all groups)Lind Hall 400 SW6.29-7.31.09
10:00am-10:45amIntro to solar cells (for all groups)Lind Hall 409 SW6.29-7.31.09
10:45am-11:15amBreakLind Hall 400 SW6.29-7.31.09
11:15am-12:00pmIntro to data clustering (for all groups) Lind Hall 409 SW6.29-7.31.09
12:00pm-1:30pmLunch break, getting acquainted SW6.29-7.31.09
1:30pm-2:15pmFirst day business: assignment of desks, computers, paperwork, keys, …Lind Hall 409 SW6.29-7.31.09
2:30pm-4:30pmGroups meet separately with mentors and advisorsLind Hall 400 SW6.29-7.31.09

Tuesday, June 30

All DayWork all day on projects. Lind Hall 400 SW6.29-7.31.09

Wednesday, July 1

All DayWork on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400
3:00pm-4:00pmLecture - Title:TBARussell J. Holmes (University of Minnesota)Lind Hall 409 SW6.29-7.31.09

Thursday, July 2

All DayWork on projects till afternoon. Lind Hall 400
SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400
3:00pm-6:00pmMississippi history walk (lecturer: Pat Nunnally)Mississippi River SW6.29-7.31.09

Friday, July 3

All DayIndependence Day. The IMA summer REU schedule will take place.
All DayWork on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
SW6.29-7.31.09

Saturday, July 4

All DayNo events scheduled. SW6.29-7.31.09

Sunday, July 5

All DayNo events scheduled. SW6.29-7.31.09

Monday, July 6

All Day9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400

Tuesday, July 7

All DayWork all day on projects. Lind Hall 400 SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400

Wednesday, July 8

All DayWork on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400
3:00pm-4:00pmLecture - Title:TBADuane Nykamp (University of Minnesota)Lind Hall 409 SW6.29-7.31.09

Thursday, July 9

All DayWork on projects till afternoon. Lind Hall 400
3:00pm Excursion away from IMA. Location: TBA
SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400

Friday, July 10

All DayWork on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
SW6.29-7.31.09
10:45am-11:15amCoffee breakLind Hall 400

Saturday, July 11

All DayNo events scheduled. SW6.29-7.31.09

Sunday, July 12

All DayNo events scheduled. SW6.29-7.31.09

Monday, July 13

All Day Morning Chair: Marta Lewicka (University of Minnesota)
Afternoon Chair: Alberto Bressan (Penn State University)
SP7.13-31.09
All Day9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
SW6.29-7.31.09
8:15am-8:45amRegistration and coffeeEE/CS 3-176 SP7.13-31.09
8:45am-9:00amWelcome to the IMAFadil Santosa (University of Minnesota)EE/CS 3-180 SP7.13-31.09
9:00am-10:15amTBAConstantine Dafermos (Brown University)EE/CS 3-180 SP7.13-31.09
10:15am-10:45amCoffee BreakEE/CS 3-176 SP7.13-31.09
10:45am-12:00pmA tutorial on hyperbolic conservation laws. Lecture 1Alberto Bressan (Pennsylvania State University)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-3:00pmTBAGui-Qiang G. Chen (Northwestern University)EE/CS 3-180 SP7.13-31.09
3:00pm-3:15pmGroup Photo
3:15pm-4:00pmCoffee BreakEE/CS 3-176 SP7.13-31.09
4:00pm-5:00pmAsymptotic analysis in thermodynamics of viscous fluids. Lecture 1Eduard Feireisl (Czech Academy of Sciences (AVČR))EE/CS 3-180 SP7.13-31.09

Tuesday, July 14

All DayMorning Chair: Gui-Qiang G. Chen (Northwestern University)
Afternoon Chair: Dehua Wang (University of Pittsburgh)
SP7.13-31.09
All DayWork all day on projects. Lind Hall 400 SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-10:15amA tutorial on hyperbolic conservation laws. Lecture 2Alberto Bressan (Pennsylvania State University)EE/CS 3-180 SP7.13-31.09
10:15am-10:45amCoffeeEE/CS 3-176 SP7.13-31.09
10:45am-12:00pmAsymptotic analysis in thermodynamics of viscous fluids. Lecture 2Eduard Feireisl (Czech Academy of Sciences (AVČR))EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-3:00pmDynamics 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-4:00pmCoffeeEE/CS 3-176 SP7.13-31.09
4:00pm-5:00pmTBAEitan Tadmor (University of Maryland)EE/CS 3-180 SP7.13-31.09

Wednesday, July 15

All DayMorning Chair: Eitan Tadmor (University of Maryland)
Afternoon Chair: Kevin Zumbrun (Indiana University)
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-10:15amNumerical 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-10:45amCoffeeEE/CS 3-176 SP7.13-31.09
10:45am-12:00pmTBAGui-Qiang G. Chen (Northwestern University)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-3:00pmAsymptotic analysis in thermodynamics of viscous fluids. Lecture 3Eduard Feireisl (Czech Academy of Sciences (AVČR))EE/CS 3-180 SP7.13-31.09
3:00pm-4:00pmCoffeeEE/CS 3-176 SP7.13-31.09
3:00pm-4:00pmLecture - Title:TBAAhmed H. Tewfik (University of Minnesota)Lind Hall 409 SW6.29-7.31.09
4:00pm-5:00pmNumerical methods for multi-dimensional systems of conservation laws. Lecture 2Chi-Wang Shu (Brown University)EE/CS 3-180 SP7.13-31.09
6:30pm-8:30pmSocial dinner for organizers and main speakersW.A. Frost and Company SP7.13-31.09

Thursday, July 16

All DayMorning Chair: Constantine Dafermos (Brown University)
Afternoon Chair: Eduard Feireisl (Czech Academy of Sciences (AVČR))
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
3:00pm Excursion away from IMA. Location: TBA
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-10:15amAsymptotic analysis in thermodynamics of viscous fluids. Lecture 4Eduard Feireisl (Czech Academy of Sciences (AVČR))EE/CS 3-180 SP7.13-31.09
10:15am-10:45amCoffeeEE/CS 3-176 SP7.13-31.09
10:45am-12:00pmNumerical methods for multi-dimensional systems of conservation laws. Lecture 3Chi-Wang Shu (Brown University)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-3:00pmA tutorial on hyperbolic conservation laws. Lecture 3Alberto Bressan (Pennsylvania State University)EE/CS 3-180 SP7.13-31.09
3:00pm-4:00pmCoffeeEE/CS 3-176 SP7.13-31.09
4:00pm-5:00pmDynamics of viscous shock waves.
Lecture 2: Verification of the Evans condition
Kevin Zumbrun (Indiana University)EE/CS 3-180 SP7.13-31.09

Friday, July 17

All DayMorning Chair: Gui-Qiang Chen (Northwestern University)
Afternoon Chair: Alberto Bressan (Penn State University)
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-10:15amA tutorial on hyperbolic conservation laws. Lecture 4Alberto Bressan (Pennsylvania State University)EE/CS 3-180 SP7.13-31.09
10:15am-10:45amCoffeeEE/CS 3-176 SP7.13-31.09
10:45am-12:00pmDynamics of viscous shock waves.
Lecture 3: Conditional stability and bifurcation
Kevin Zumbrun (Indiana University)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-3:00pmTBAGui-Qiang G. Chen (Northwestern University)EE/CS 3-180 SP7.13-31.09
3:00pm-4:00pmCoffeeEE/CS 3-176 SP7.13-31.09
4:00pm-5:00pmNumerical methods for multi-dimensional systems of conservation laws. Lecture 4Chi-Wang Shu (Brown University)EE/CS 3-180 SP7.13-31.09

Saturday, July 18

All DayChair: Marta Lewicka (University of Minnesota) SP7.13-31.09
All DayNo events scheduled. SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-10:15amTBAGui-Qiang G. Chen (Northwestern University)EE/CS 3-180 SP7.13-31.09
10:15am-10:45amCoffeeEE/CS 3-176 SP7.13-31.09
10:45am-12:00pmDynamics 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

Sunday, July 19

All DayNo scheduled activity SP7.13-31.09
All DayNo events scheduled. SW6.29-7.31.09

Monday, July 20

All DayMorning Chair: Gui-Qiang G. Chen (Northwestern University)
Afternoon Chair: Tai-Ping Liu (Stanford University)
SP7.13-31.09
All Day9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBATai-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 lawsMichael 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 dynamicsRobin Young (University of Massachusetts)
Periodic solutions to the Euler equationsRobin Young (University of Massachusetts)
11:00am-11:50amExistence and stability of global solutions to shock reflection problemMikhail Feldman (University of Wisconsin)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTBACleopatra 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-4:50pmDiscussion: Kinetic theory and gas dynamicsTai-Ping Liu (Stanford University)EE/CS 3-180 SP7.13-31.09

Tuesday, July 21

All DayMorning Chair: Mikhail Feldman (University of Wisconsin)
Afternoon Chair: Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))
SP7.13-31.09
All DayWork all day on projects. Lind Hall 400 SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBABenoit 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-11:50amTBADehua Wang (University of Pittsburgh)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTBADavid 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-4:50pmDiscussion: Coupling Hyperbolic and elliptic/parabolic systems: state of the art, open problems, new modelsBenoit Perthame (Université de Paris VI (Pierre et Marie Curie))EE/CS 3-180 SP7.13-31.09

Wednesday, July 22

All DayMorning Chair: Marta Lewicka (University of Minnesota)
Afternoon Chair: Denis Serre (École Normale Supérieure de Lyon)
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBADenis 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-11:50amTBALev Truskinovsky (École Polytechnique)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTwo functionals for general hyperbolic conservation laws Tong Yang (City University of Hong Kong)EE/CS 3-180 SP7.13-31.09
2:00pm-3:00pmLecture - Title:TBAVaughan 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-4:50pmDiscussionDenis Serre (École Normale Supérieure de Lyon)EE/CS 3-180 SP7.13-31.09

Thursday, July 23

All DayMorning Chair: Tong Yang (City University of Hong Kong)
Afternoon Chair: Nader Masmoudi (New York University)
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
3:00pm Excursion away from IMA. Location: TBA
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBANader 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-11:50amTBAPhilippe G. LeFloch (Université de Paris VI (Pierre et Marie Curie))EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTBAMarta 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-4:50pmDiscussion: Free boundary problems related to water wavesNader Masmoudi (New York University)EE/CS 3-180 SP7.13-31.09
6:30pm-8:30pmWorkshop dinnerKikugawa at Riverplace SP7.13-31.09

Friday, July 24

All DayMorning Chair: Helge Holden (Norwegian University of Science and Technology (NTNU))
Afternoon Chair: Luigi Ambrosio (Scuola Normale Superiore)
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBALuigi 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-11:50amTBAStefano Bianchini (International School for Advanced Studies (SISSA/ISAS))EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTBAMichael 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-4:50pmDiscussionLuigi Ambrosio (Scuola Normale Superiore)EE/CS 3-180 SP7.13-31.09

Saturday, July 25

All DayChair: Athanasios Tzavaras (University of Maryland) SP7.13-31.09
All DayNo events scheduled. SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amConvergence of operator splitting for the KdV equationHelge 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-11:50amWell-posedness results for the transport equation, and applications to the chromatography systemLaura Valentina Spinolo (Scuola Normale Superiore)EE/CS 3-180 SP7.13-31.09

Sunday, July 26

All DayNo scheduled activity. SP7.13-31.09
All DayNo events scheduled. SW6.29-7.31.09

Monday, July 27

All DayMorning Chair: Alberto Bressan (Penn State University)
Afternoon Chair: Yuxi Zheng (Pennsylvania State University)
SP7.13-31.09
All Day9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBAYuxi 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-11:50amTBAFeimin Huang (Chinese Academy of Sciences)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTBAWilli 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-4:50pmDiscussionYuxi Zheng (Pennsylvania State University)EE/CS 3-180 SP7.13-31.09

Tuesday, July 28

All DayMorning Chair: Barbara Keyfitz (Ohio State University)
Afternoon Chair: Athanasios Tzavaras (University of Maryland)
SP7.13-31.09
All DayWork all day on projects. Lind Hall 400 SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBAAthanasios 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-11:50amGlobal BV for a model of granular flowWen Shen (Pennsylvania State University)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmTBAHermano 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-4:50pmDiscussionAthanasios Tzavaras (University of Maryland)EE/CS 3-180 SP7.13-31.09

Wednesday, July 29

All DayMorning Chair: TBA
Afternoon Chair: James G. Glimm (SUNY)
SP7.13-31.09
All DayWork on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
SW6.29-7.31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBAJames 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-11:50amCharge transport in an incompressible fluid mediumJoseph W. Jerome (Northwestern University)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmStability of rotating white dwarf starsTao 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-4:00pmLecture - Title:TBARichard P. McGehee (University of Minnesota)Lind Hall 409 SW6.29-7.31.09
4:00pm-4:50pmDiscussion topic: Conservation laws in higher spatial dimensions: Euler vs. Navier-Stokes; theory and computationJames G. Glimm (SUNY)EE/CS 3-180 SP7.13-31.09

Thursday, July 30

All DayMorning Chair: Joseph W. Jerome (Northwestern University)
Afternoon Chair: Suncica Canic (University of Houston)
SP7.13-31.09
All DayWork 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-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:50amTBASuncica 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-11:50amTBAAlexis Frederic Vasseur (University of Texas)EE/CS 3-180 SP7.13-31.09
12:00pm-2:00pmLunch SP7.13-31.09
2:00pm-2:50pmConservation laws on networksMauro 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-4:50pmDiscussionSuncica Canic (University of Houston)EE/CS 3-180 SP7.13-31.09
6:30pm-8:30pmWorkshop dinnerTBA SP7.13-31.09

Friday, July 31

All DayResearch Conference on results SW6.29-7.31.09
All DayChair: TBA SP7.13-31.09
8:30am-9:00amCoffeeEE/CS 3-176 SP7.13-31.09
9:00am-9:30amObjective StructuresLind Hall 409 SW6.29-7.31.09
9:00am-9:50amWell posedness and control in models based on conservation lawsRinaldo Mario Colombo (Università di Brescia)EE/CS 3-180 SP7.13-31.09
9:30am-10:00amSolar 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-10:30amBreakLind Hall 400 SW6.29-7.31.09
10:30am-11:00amClustersLind Hall 409 SW6.29-7.31.09
11:00am-11:50amTBABarbara Keyfitz (Ohio State University)EE/CS 3-180 SP7.13-31.09
11:00am-11:10amClosingLind Hall 409 SW6.29-7.31.09
11:50am-12:00pmClosing RemarksEE/CS 3-180 SP7.13-31.09

Event Legend:

ND6.15-26.09Applied Algebraic Topology
PISG6.15-7.3.09The Mathematics of Inverse Problems
SP7.13-31.09Nonlinear Conservation Laws and Applications
SW6.29-7.31.09IMA Interdisciplinary Research Experience for Undergraduates
Abstracts
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:
  1. Meaning of the conservation equations and definition of weak solutions.
  2. Shocks, Rankine-Hugoniot equations and admissibility conditions.
  3. The Riemann problem. Wave interaction estimates.
  4. Weak solutions to the Cauchy problem with small BV data.
  5. Uniqueness and continuous dependence.
  6. Vanishing viscosity approximations.
  7. Some counter-examples to global existence, uniqueness, and continuous dependence of solutions, when some key hypotheses are removed.
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:
  • functional analytic framework and the basic ideas of the mathematical theory of continuum fluid mechanics;
  • thermodynamic stability and equilibrium states;
  • low Mach number limits and propagation of acoustic waves in thermally conducting viscous fluids
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.
Visitors in Residence
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
Legend: Postdoc or Industrial Postdoc Long-term Visitor

IMA Affiliates:
Arizona State University, Boeing, Corning Incorporated, ExxonMobil, Ford, General Motors, Georgia Institute of Technology, Honeywell, IBM, Indiana University, Iowa State University, Kent State University, Korea Advanced Institute of Science and Technology (KAIST), Lawrence Livermore National Laboratory, Lockheed Martin, Los Alamos National Laboratory, Medtronic, Michigan State University, Michigan Technological University, Microsoft Research, Mississippi State University, Motorola, Northern Illinois University, Ohio State University, Pennsylvania State University, Purdue University, Rice University, Rutgers University, Sandia National Laboratories, Schlumberger Cambridge Research, Schlumberger-Doll, Seoul National University, Siemens, Telcordia, Texas A & M University, University of Central Florida, University of Chicago, University of Cincinnati, University of Delaware, University of Houston, University of Illinois at Urbana-Champaign, University of Iowa, University of Kentucky, University of Maryland, University of Michigan, University of Minnesota, University of Notre Dame, University of Pittsburgh, University of Tennessee, University of Wisconsin, University of Wyoming, US Air Force Research Laboratory, Wayne State University, Worcester Polytechnic Institute