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Mathematics, Penn State University 

Mathematics, Northwestern University 

Mathematics, University of Minnesota 

Mathematics, University of Pittsburgh 
Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. This summer program will bring together some of the world's leading experts in the field, presenting the most significant theoretical advances and discussing applications.
For hyperbolic systems of conservation laws in one space dimension, the method of local decomposition of solutions along traveling wave profiles has recently paved the way to understanding the convergence of various types of approximations: vanishing viscosity, relaxations, semidiscrete schemes. On the other hand, other approximations, such as physical viscosity, or fully discrete numerical schemes, are still poorly understood. The global existence or the finite time blowup of solutions with large BV data is another major problem for investigation.
The theoretical analysis of hyperbolic conservation laws in several space dimensions remains a grand challenge. In the past few years, new techniques have been introduced, resulting in specific advances. Refined measuretheoretical tools have been developed for the study of scalar conservation laws, and for transport equation with rough coefficients. Intriguing counterexamples have been constructed by means of a newly developed Baire category technique. Moreover, major breakthroughs have recently been achieved in the understanding of shock reflection past a wedge in the equation of gas dynamics, and in the existence theory for global weak solutions with large data to the compressible NavierStokes equations in both the isentropic and nonisentropic cases.
Progress in theoretical understanding has been paralleled by an expansion in the applications of hyperbolic conservation laws. Traditional areas of applications in mathematical physics, such as fluid dynamics, magnetohydrodynamics, nonlinear elasticity, combustion models, oil recovery, etc, have experienced sustained growth. In addition, new directions are emerging: continuum models based on conservation laws are increasingly used in the analysis of blood flow and of cell motion, in the modelling of traffic flow and of large scale supplychains in economic and industrial applications. A novel aspect of these models is that the flow is not only studied on a single road, or pipeline, but on a network. These network models apply, in particular, also to the flow of information packets through the Internet.
The first week of the program will be largely devoted to tutorial sessions and general survey lectures. These will be targeted at young researchers and Ph.D. students who know only some basic facts on the subject and want to get familiar with the main lines of current research.
The following two weeks will contain more specialized research talks with one or two themes each day. These talks will be intermixed with discussions, pointing out the most promising areas for further research. We plan to overlap themes in several areas to stimulate interaction between different groups. The second week will focus more on the theoretical aspects, and the third week on applications and numerical methods.
Monday  Tuesday  Wednesday  Thursday  Friday  Saturday  Sunday Monday  Tuesday  Wednesday  Thursday  Friday  Saturday  Sunday Monday  Tuesday  Wednesday  Thursday  Friday  

Monday July 13, 2009  
Morning Chair: Marta Lewicka (University of Minnesota) Afternoon Chair: Alberto Bressan (Penn State University)  
8:15am8:45am  Registration and coffee  EE/CS 3176  
8:45am9:00am  Welcome to the IMA  Fadil Santosa (University of Minnesota, Twin Cities)  EE/CS 3180  
9:00am10:15am  Introduction to conservation laws  Constantine Dafermos (Brown University)  EE/CS 3180  
10:15am10:45am  Coffee Break  EE/CS 3176  
10:45am11:45am  An introduction to multidimensional conservation laws. Lecture 1  GuiQiang Chen (Northwestern University)  EE/CS 3180  
11:45am2:00pm  Lunch  
2:00pm3:00pm  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 1  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  
3:00pm3:30pm  Coffee Break  EE/CS 3176  
3:30pm4:45pm  A tutorial on hyperbolic conservation laws. Lecture 1  Alberto Bressan (The Pennsylvania State University)  EE/CS 3180  
Tuesday July 14, 2009  
Morning Chair: GuiQiang G. Chen
(Northwestern University) Afternoon Chair: Dehua Wang (University of Pittsburgh)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am10:15am  A tutorial on hyperbolic conservation laws. Lecture 2  Alberto Bressan (The Pennsylvania State University)  EE/CS 3180  
10:15am10:45am  Coffee  EE/CS 3176  
10:45am12:00pm  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 2  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm3:00pm  Dynamics of viscous shock waves. Lecture 1: Stability of viscous shock waves  Kevin Zumbrun (Indiana University)  EE/CS 3180  
3:00pm4:00pm  Coffee  EE/CS 3176  
4:00pm5:00pm  Selected topics in approximate solutions of nonlinear conservation laws  Eitan Tadmor (University of Maryland)  EE/CS 3180  
Wednesday July 15, 2009  
Morning Chair: Eitan Tadmor (University of Maryland) Afternoon Chair: Kevin Zumbrun (Indiana University)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am10:15am  Numerical methods for multidimensional systems of conservation laws. Lecture 1  ChiWang Shu (Brown University)  EE/CS 3180  
10:15am10:45am  Coffee  EE/CS 3176  
10:45am12:00pm  An introduction to multidimensional conservation laws. Lecture 2  GuiQiang Chen (Northwestern University)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm3:00pm  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 3  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  
3:00pm4:00pm  Coffee  EE/CS 3176  
4:00pm5:00pm  Numerical methods for multidimensional systems of conservation laws. Lecture 2  ChiWang Shu (Brown University)  EE/CS 3180  
6:30pm8:30pm  Social dinner for organizers and main speakers  W.A. Frost and Company  
Thursday July 16, 2009  
Morning Chair: Constantine Dafermos
(Brown University) Afternoon Chair: Eduard Feireisl (Czech Academy of Sciences (AVČR))  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am10:15am  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 4  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  
10:15am10:45am  Coffee  EE/CS 3176  
10:45am12:00pm  Numerical methods for multidimensional systems of conservation laws. Lecture 3  ChiWang Shu (Brown University)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm3:00pm  A tutorial on hyperbolic conservation laws. Lecture 3  Alberto Bressan (The Pennsylvania State University)  EE/CS 3180  
3:00pm4:00pm  Coffee  EE/CS 3176  
4:00pm5:00pm  Dynamics of viscous shock waves. Lecture 2: Verification of the Evans condition  Kevin Zumbrun (Indiana University)  EE/CS 3180  
Friday July 17, 2009  
Morning Chair: GuiQiang Chen
(Northwestern University) Afternoon Chair: Alberto Bressan (Penn State University)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am10:15am  A tutorial on hyperbolic conservation laws. Lecture 4  Alberto Bressan (The Pennsylvania State University)  EE/CS 3180  
10:15am10:45am  Coffee  EE/CS 3176  
10:45am12:00pm  Dynamics of viscous shock waves.
Lecture 3: Conditional stability and bifurcation  Kevin Zumbrun (Indiana University)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm3:00pm  An introduction to multidimensional conservation laws. Lecture 3  GuiQiang Chen (Northwestern University)  EE/CS 3180  
3:00pm4:00pm  Coffee  EE/CS 3176  
4:00pm5:00pm  Numerical methods for multidimensional systems of conservation laws. Lecture 4  ChiWang Shu (Brown University)  EE/CS 3180  
Saturday July 18, 2009  
Chair: Marta Lewicka (University of Minnesota)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am10:15am  An introduction to multidimensional conservation laws. Lecture 4  GuiQiang Chen (Northwestern University)  EE/CS 3180  
10:15am10:45am  Coffee  EE/CS 3176  
10:45am12:00pm  Dynamics of viscous shock waves.
Lecture 4: Multidimensional dynamics: flow in an infinite cylinder  Kevin Zumbrun (Indiana University)  EE/CS 3180  
Sunday July 19, 2009  
No scheduled activity  
Monday July 20, 2009  
Morning Chair: GuiQiang G. Chen
(Northwestern University)
Afternoon Chair: TaiPing Liu (Stanford University)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Kinetic theory and gas dynamics  TaiPing Liu (Stanford University)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants InstructionsEE/CS 3176  
11:00am11:50am  Existence and stability of global solutions to shock reflection problem  Mikhail Feldman (University of Wisconsin, Madison)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Stability of multidimensional contact discontinuities in compressible MHD  YaGuang Wang (Shanghai Jiaotong University)  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion: Kinetic theory and gas dynamics  TaiPing Liu (Stanford University)  EE/CS 3180  
Tuesday July 21, 2009  
Morning Chair: Mikhail Feldman
(University of Wisconsin) Afternoon Chair: Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  A coupled system of elliptic/conservation law arising in cell selforganization  Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Transonic flows and isometric embeddings  Dehua Wang (University of Pittsburgh)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Instantaneous boundarytangency of singularity curves in compressible fluid flow  David Hoff (Indiana University)  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  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 3180  
Wednesday July 22, 2009  
Morning Chair: Marta Lewicka
(University of Minnesota) Afternoon Chair: Denis Serre (École Normale Supérieure de Lyon)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  The nature of viscous dissipation in systems of conservation laws  Denis Serre (École Normale Supérieure de Lyon)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Kinetic relations and beyond  Lev Truskinovsky (École Polytechnique)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Quantum fluids and related problems  Pierangelo Marcati (Università di L'Aquila)  EE/CS 3180  
3:00pm3:10pm  Group Photo  
3:10pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion: Dissipation in systems of conservation laws  Denis Serre (École Normale Supérieure de Lyon)  EE/CS 3180  
Thursday July 23, 2009  
Morning Chair: Pierangelo Marcati
(Università di L'Aquila) Afternoon Chair: Nader Masmoudi (New York University)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Global existence for small data water waves  Nader Masmoudi (New York University)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Kinetic relations for undercompressive shocks. Physical, mathematical, and numerical issues  Philippe LeFloch (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Reduced theories in nonlinear elasticity  Marta Lewicka (University of Minnesota, Twin Cities)  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion: Free boundary problems related to water waves  Nader Masmoudi (New York University)  EE/CS 3180  
6:30pm8:30pm  Workshop dinner at Kikugawa at Riverplace  Kikugawa at Riverplace 43 Main Street SE Minneapolis MN 55414 6123783006  
Friday July 24, 2009  
Morning Chair: Helge Holden
(Norwegian University of Science and Technology (NTNU)) Afternoon Chair: Luigi Ambrosio (Scuola Normale Superiore)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Flows in the space of probability measures and convergence of Wigner transforms  Luigi Ambrosio (Scuola Normale Superiore)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Monge problem in geodesic spaces  Stefano Bianchini (International School for Advanced Studies (SISSA/ISAS))  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Optimal transport for the system of isentropic Euler equations  Michael Westdickenberg (Georgia Institute of Technology)  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion: Continuity equations and flows: recent results and open problems  Luigi Ambrosio (Scuola Normale Superiore)  EE/CS 3180  
Saturday July 25, 2009  
Chair: Athanasios Tzavaras (University of Maryland)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Convergence of operator splitting for the KdV equation  Helge Holden (Norwegian University of Science and Technology (NTNU))  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Wellposedness results for the transport equation, and applications to the chromatography system  Laura Valentina Spinolo (Scuola Normale Superiore)  EE/CS 3180  
Sunday July 26, 2009  
No scheduled activity.  
Monday July 27, 2009  
Morning Chair: Alberto Bressan
(Penn State University) Afternoon Chair: Yuxi Zheng (Pennsylvania State University)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Semihyperbolic patches of solutions to twodimensional compressible Euler systems  Yuxi Zheng (The Pennsylvania State University)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions EE/CS 3176
 
11:00am11:50am  Nonlinear surface waves and the loss of uniform Lopatinski stability in IBVPs for hyperbolic conservation laws  John Hunter (University of California, Davis)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Symmetric waves for conservation laws  Helge Kristian Jenssen (The Pennsylvania State University)  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion  Yuxi Zheng (The Pennsylvania State University)  EE/CS 3180  
Tuesday July 28, 2009  
Morning Chair: Barbara Keyfitz
(Ohio State University) Afternoon Chair: Athanasios Tzavaras (University of Maryland)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Adiabatic shear bands in high strainrate plasticity  Athanasios Tzavaras (University of Maryland)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions EE/CS 3176
 
11:00am11:50am  Global BV for a model of granular flow  Wen Shen (The Pennsylvania State University)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Homogenization of degenerate porous medium type equations in ergodic algebras  Hermano Frid (Institute of Pure and Applied Mathematics (IMPA))  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion: Conservation laws in elasticity  Athanasios Tzavaras (University of Maryland)  EE/CS 3180  
Wednesday July 29, 2009  
Morning Chair: Dehua Wang (University of Pittsburgh)
Afternoon Chair: James G. Glimm (SUNY)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Mathematical and numerical principles for turbulent mixing  James Glimm (The State University of New York)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Charge transport in an incompressible fluid medium  Joseph Jerome (Northwestern University)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Stability of rotating white dwarf stars  Tao Luo (Georgetown University)  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion topic: Conservation laws in higher spatial dimensions: Euler vs. NavierStokes; theory and computation  James Glimm (The State University of New York)  EE/CS 3180  
Thursday July 30, 2009  
Morning Chair: Joseph W. Jerome
(Northwestern University) Afternoon Chair: Suncica Canic (University of Houston)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  A hyperbolicparabolic 3D axially symmetric fluidstructure interaction problem arising in blood flow modeling  Suncica Canic (University of Houston)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  Global regularity of solutions to systems of reactiondiffusion with subquadratic growth in any dimension  Alexis Vasseur (University of Texas, Austin)  EE/CS 3180  
12:00pm2:00pm  Lunch  
2:00pm2:50pm  Conservation laws on networks  Mauro Garavello (Università del Piemonte Orientale "Amedeo Avogadro")  EE/CS 3180  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
4:00pm4:50pm  Discussion  Suncica Canic (University of Houston)  EE/CS 3180  
6:30pm8:30pm  Workshop dinner at Pagoda  Pagoda Restaurant 1417 4th St. SE Minneapolis, MN 6123784710  
Friday July 31, 2009  
Chair: Alberto Bressan (Penn State University)  
8:30am9:00am  Coffee  EE/CS 3176  
9:00am9:50am  Well posedness and control in models based on conservation laws  Rinaldo Colombo (Università di Brescia)  EE/CS 3180  
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  
11:00am11:50am  The sonic line as a free boundary: Stability under perturbations  Barbara Keyfitz (The Ohio State University)  EE/CS 3180  
11:50am12:00pm  Closing Remarks  EE/CS 3180 
NAME  DEPARTMENT  AFFILIATION 

Luigi Ambrosio  Scuola Normale Superiore  
Fabio Ancona  Dipartimento di Matematica Pura ed Applicata  Università di Padova 
Myoungjean Bae  Department of Mathematics  University of Wisconsin, Madison 
Santiago Betelu  Department of Mathematics  University of North Texas 
Stefano Bianchini  International School for Advanced Studies (SISSA/ISAS)  
Michael Blaser  Eidgenössische TH Hönggerberg  
Alberto Bressan  Department of Mathematics  The Pennsylvania State University 
Suncica Canic  Department of Mathematics  University of Houston 
GuiQiang Chen  Department of Mathematics  Northwestern University 
Bin Cheng  Department of Mathematics  University of Michigan 
Antoine Choffrut  University of Minnesota, Twin Cities  
Rinaldo Colombo  Dipartimento di Matematica  Università di Brescia 
Gianluca Crippa  Dipartimento di Matematica  Università di Parma 
Constantine Dafermos  Division of Applied Mathematics  Brown University 
Xue Mei Deng  School of Mathematical Sciences  Northwestern University 
Qian Ding  Mathematics Department  Northwestern University 
Liviu Dinu  Institute of Mathematics  Romanian Academy of Sciences 
Marina Dinu  Department of Mathematics  Polytechnic University of Bucharest 
Carlotta Donadello  BAD ADDRESS  Northwestern University 
WolfPatrick Duell  New York University  
Volker Elling  Mathematics Department  University of Michigan 
Nadine Even  BAD ADDRESS  BayerischeJuliusMaximiliansUniversität Würzburg 
Beixiang Fang  Department of Mathematics  Shanghai Jiaotong University 
Eduard Feireisl  Department of Evolution Differential Equations  Czech Academy of Sciences (AVČR) 
Mikhail Feldman  Department of Mathematics  University of Wisconsin, Madison 
Jin Feng  Department of Mathematics  University of Kansas 
Hermano Frid  Partial Differential Equations  Institute of Pure and Applied Mathematics (IMPA) 
Frederico Furtado  Department of Mathematics  University of Wyoming 
Shu Gao  Mathematics Department  Northwestern University 
Mauro Garavello  Dipartimento di Scienze e Tecnologie Avanzate  Università del Piemonte Orientale "Amedeo Avogadro" 
James Glimm  Department of Applied Mathamatics & Statistics  The State University of New York 
G.D. Veerappa Gowda  Centre for Applicable Mathematics  Tata Institute of Fundamental Research 
Graziano Guerra  Dipartimento di Matematica e Applicazioni  Università di Milano  Bicocca 
Arvind Gupta  Birla Institute of Technology and Science  
Michael Herty  Department of Mathematics  RWTH Aachen 
Luan Hoang  Department of Mathematics & Statistics  Texas Tech University 
David Hoff  Department of Mathematics  Indiana University 
Helge Holden  Department of Mathematical Sciences  Norwegian University of Science and Technology (NTNU) 
Jingwei Hu  Department of Mathematics  University of Wisconsin, Madison 
Xianpeng Hu  Department of Mathematics  University of Pittsburgh 
John Hunter  Department of Mathematics  University of California, Davis 
Juhi Jang  Department of Mathematics  Courant Institute of Mathematical Sciences 
Katarina Jegdic  Department of Computer and Mathematical Sciences  University of HoustonDowntown 
Helge Kristian Jenssen  Department of Mathematics  The Pennsylvania State University 
Joseph Jerome  Department of Mathematics  Northwestern University 
Peng Jiang  Department of Mathematics  University of Pittsburgh 
Mathew Johnson  BAD ADDRESS  Indiana University 
Kayyunnapara Joseph  School of Mathematics  Tata Institute of Fundamental Research 
Kenneth Karlsen  University of Oslo  
Markus Keel  Institute for Mathematics and its Applications  University of Minnesota, Twin Cities 
Barbara Keyfitz  Department of Mathematics  The Ohio State University 
Christian Klingenberg  Department of Mathematics  BayerischeJuliusMaximiliansUniversität Würzburg 
Alexander Kurganov  Department of Mathematics  Tulane University 
Bongsuk Kwon  Department of Mathematics  Indiana University 
Marc Laforest  mathématiques et génie industriel  École Polytechnique de Montréal 
Philippe LeFloch  Laboratoire JacquesLouis Lions  Université de Paris VI (Pierre et Marie Curie) 
Nicholas Leger  Department of Mathematics  University of Texas, Austin 
Marta Lewicka  School of Mathematics  University of Minnesota, Twin Cities 
Lu Li  School of Mathematics  University of Minnesota, Twin Cities 
TianHong Li  Academy of Mathematics and Systems Science  Chinese Academy of Sciences 
Tong Li  Department of Mathematics  The University of Iowa 
Yachun Li  Department of Mathematics  Shanghai Jiaotong University 
Chun Liu  Institute for Mathematics and its Applications  University of Minnesota, Twin Cities 
Hailiang Liu  Department of Mathematics  Iowa State University 
TaiPing Liu  Department of Mathematics  Stanford University 
Maria Lukacova  Institute of Numerical Simulation  Technische Universität HamburgHarburg 
Tao Luo  Department of Mathematics  Georgetown University 
Pierangelo Marcati  Department of Pure and Applied Mathematics  Università di L'Aquila 
Francesca Marcellini  Department of Mathematics and Applications  Università di Milano  Bicocca 
Dan Marchesin  Instituto de Matematica Pura e Aplicada  
Andrea Marson  Department of Pure and Applied Mathematics  Università di Padova 
Nader Masmoudi  Courant Institute of Mathematical Sciences  New York University 
Francesca Monti  Department of Mathematics and Application  Università di Milano  Bicocca 
Sarka Necasova  Czech Academy of Sciences (AVČR)  
Toan Nguyen  Department of Mathematics  Indiana University 
Truyen Nguyen  Department of Theoretical and Applied Mathematics  University of Akron 
Shinya Nishibata  Mathematical and Computer Sciences Department  Tokyo Institute of Technology 
Reza Pakzad  Department of Mathematics  University of Pittsburgh 
Ronghua Pan  School of Mathematics  Georgia Institute of Technology 
Evgeniy Panov  Mathematical Analysis Department  Novgorod State University 
Arshad Peer  Department of Mathematics  University of Mauritius 
Mikhail Perepelitsa  Department of Mathematics  Vanderbilt University 
Benoit Perthame  Laboratoire JacquesLouis Lions  Université de Paris VI (Pierre et Marie Curie) 
Tomasz Piasecki  ul. Bialobrzeska 37 m.19  Polish Academy of Sciences 
Bojan Popov  Department of Mathematics  Texas A & M University 
Roger Robyr  Institute of Mathematics  Universität Zürich 
Olga Rozanova  Department of Differential Equations  Moscow State University 
Fadil Santosa  Institute for Mathematics and its Applications  University of Minnesota, Twin Cities 
Denis Serre  École Normale Supérieure de Lyon  
Michael Shearer  Department of Mathematics  North Carolina State University 
Wen Shen  Mathematics Department  The Pennsylvania State University 
ChiWang Shu  Division of Applied Mathematics  Brown University 
Marshall Slemrod  Department of Mathematics  University of Wisconsin, Madison 
Kyungwoo Song  Department of Mathematics  Kyung Hee University 
Laura Valentina Spinolo  Centro De Giorgi  Scuola Normale Superiore 
Shaowei Su  Mathematics Department  Northwestern University 
Eitan Tadmor  CSCAMM  University of Maryland 
Allen Tesdall  Department of Mathematics  College of Staten Island, CUNY 
Monica Torres  Department of Mathematics  Purdue University 
Konstantina Trivisa  Department of Mathematics  University of Maryland 
Lev Truskinovsky  Laboratoire de Mécanique des Solides  École Polytechnique 
Athanasios Tzavaras  Department of Mathematics  University of Maryland 
Alexis Vasseur  Mathematics Department  University of Texas, Austin 
David Wagner  Department of Mathematics  University of Houston 
Dehua Wang  Department of Mathematics  University of Pittsburgh 
YaGuang Wang  Department of Mathematics  Shanghai Jiaotong University 
Ying Wang  Department of Mathematics  The Ohio State University 
Michael Westdickenberg  School of Mathematics  Georgia Institute of Technology 
Mark Williams  Department of Mathematics  University of North Carolina 
Meng Xu  Department of Mathematics  Northwestern University 
Jue Yan  Department of Mathematics  Iowa State University 
Hao Ying  The Ohio State University  
Robin Young  Department of Mathematics & Statistics  University of Massachusetts 
Matthias Youngs  Department of Mathematics  Indiana University 
Cheng Yu  Department of Mathematics  Indiana University 
Haijun Yu  Department of Mathematics  Purdue University 
ShihHsien Yu  Department of Mathematics  National University of Singapore 
Hairong Yuan  Department of Mathematics  East China Normal University 
Yanni Zeng  Department of Mathematics  University of Alabama at Birmingham 
Tianyou Zhang  Department of Mathematics  The Pennsylvania State University 
Yongqian Zhang  School of Mathematical Sciences  Fudan University 
Kun Zhao  Department of Mathematics  Georgia Institute of Technology 
Yuxi Zheng  Department of Mathematics  The Pennsylvania State University 
Dianwen Zhu  Department of Mathematics  University of California, Davis 
Kevin Zumbrun  Department of Mathematics  Indiana University 
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