Organizing Committee
 Pierre Degond
Imperial College London  Francis Filbet
Universite de Lyon II  Robert Glassey
Indiana University  Jingmei Qiu
University of Houston  Gerhard Rein
Universität Bayreuth
Abstract
Vlasovtype models deal with continua of particles where the electric charges dominate the collisions, so that the collisions are ignored. They occur in physical plasmas, including astrophysical plasmas and fusion reactors.
There are many examples of astrophysical plasmas of this type, such as the solar wind. When a fusion reactor is very hot, the relevant times scales are so short that collisions can be ignored. Vlasov theory also models systems where the dominant force is gravity, such as clusters of stars or galaxies.
Confirmed Speakers & Participants

Jose Antonio Alcantara Felix
University of Granada

Hakan Andreasson
AAAS

Kazuo Aoki
Kyoto University

Anton Arnold
Technische Universität Wien

Alethea Barbaro
Case Western Reserve University

Francois Bolley
Universite de ParisDauphine

Luis Caffarelli
University of Texas at Austin

Simone Calogero
University of Granada

Jose Carrillo
Autonomous University of Barcelona

Matthew Causley
Michigan State University

Yingda Cheng
Michigan State University

Alina Chertock
North Carolina State University

Andrew Christlieb
Michigan State University

Emre Esenturk
University of Pittsburgh

Francis Filbet
Universite de Lyon II

Irene Gamba
University of Texas at Austin

Robert Glassey
Indiana University

Francois Golse
Ecole Polytechnique

Maria Gualdani
University of Texas at Austin

Wei Guo
Colorado School of Mines

Yan Guo
Brown University

Jeffrey Haack
University of Texas at Austin

Mahir Hadzic
Massachusetts Institute of Technology

George Hagstrom
New York University

Andong He
Yale University

Hyung Hwang
Pohang University of Science and Technology (POSTECH)

PierreEmmanuel Jabin
Universite de Nice Sophia Antipolis

Juhi Jang
University of Southern California

Evan Johnson
University of Wisconsin

Ahmed Kaffel
University of Wisconsin

Mohammed Lemou
Centre National de la Recherche Scientifique (CNRS)

Fengyan Li
Rensselaer Polytechinic Institute

Zhiwu Lin
Georgia Institute of Technology

Nader Masmoudi
Courant Institute of Mathematical Sciences at NYU

Jose Morales
University of Texas at Austin

Phil Morrison
University of Texas at Austin

Sebastien Motsch
Arizona State University

Clement Mouhot
University of Cambridge

Stephen Pankavich
U.S. Naval Academy

Lorenzo Pareschi
Università degli Studi di Ferrara

Jingmei Qiu
University of Houston

Gerhard Rein
Universität Bayreuth

Alan Rendall
Johannes Gutenberg Universität Mainz

Matthew Reyna
Rensselaer Polytechnic Institute

Giovanni Russo
Università di Catania

Jack Schaeffer
Carnegie Mellon University

ChiWang Shu
Brown University

Eric Sonnendrucker
Universite de Strasbourg I (Louis Pasteur)

Robert Strain
University of Pennsylvania

Walter Strauss
Brown University

Daniela Tonon
International School for Advanced Studies (SISSA/ISAS)

Ariane Trescases
Ecole Normale Superior ParisSaclay

Kent Van Vels
University of Texas at Austin

Dongming Wei
University of Wisconsin

Miles Wheeler
New York University Courant Institute of Mathematical Sciences

Yulong xing
University of California Riverside

Bokai Yan
University of Wisconsin

He Yang
Ohio State University

Brent Young
Rutgers University

Cheng Yu
University of Pittsburgh

SeokBae Yun
Brown University

Chenglong Zhang
University of Texas at Austin
Workshop Schedule
Monday, September 19, 2011
Tuesday, September 20, 2011
Wednesday, September 21, 2011
Thursday, September 22, 2011
Friday, September 23, 2011
Tutorial Week Schedule
Monday, September 12, 2011
Time  Event  Location  Materials 

1:30  3:00  Introduction to Kinetic Theory  Clement Mouhot, University of Cambridge  11th Floor Lecture Hall  
3:00  3:30  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  5:00  Introduction to Kinetic Theory  Clement Mouhot, University of Cambridge  11th Floor Lecture Hall 
Tuesday, September 13, 2011
Time  Event  Location  Materials 

10:30  12:00  Numerical methods for the Vlasov Equation  Eric Sonnendrucker, Université de Strasbourg I (Louis Pasteur)  10th Floor Seminar Room  
2:30  4:00  Numerical methods for the Vlasov Equation  Eric Sonnendrucker, Université de Strasbourg I (Louis Pasteur)  11th Floor Lecture Hall  
4:00  4:30  Coffee/Tea Break  11th Floor Collaborative Space  
4:30  5:30  Professional Development (postdocs and graduate students)  11th Floor Lecture Hall 
Wednesday, September 14, 2011
Time  Event  Location  Materials 

10:00  12:00  Computation Working Group  Eric Sonnendrucker, Université de Strasbourg I (Louis Pasteur)  10th Floor Seminar Room  
3:00  4:30  Introduction to Kinetic Theory  Clement Mouhot, University of Cambridge  11th Floor Lecture Hall  
4:30  5:00  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, September 15, 2011
Time  Event  Location  Materials 

10:30  12:00  TBA  ChiWang Shu, Brown University  10th Floor Seminar Room  
2:30  4:00  TBA  ChiWang Shu, Brown University  11th Floor Lecture Hall  
4:00  5:30  Welcome Reception  11th Floor Collaborative Space 
Friday, September 16, 2011
Time  Event  Location  Materials 

2:30  4:00  Introduction to Kinetic Theory  Clement Mouhot, University of Cambridge  11th Floor Lecture Hall  
4:00  4:30  Coffee/Tea Break  11th Floor Collaborative Space 
Problems
Problem 1: Stability of Equilibria.
There are a lot of steady states in the Vlasov theory and their stability has been a major focus of interest. Stability requires both very longtime computations as well as theoretical analysis in order to make progress. A fundamental open problem in Vlasov theory is the question of whether there are any periodic BGK modes that are stable under arbitrary perturbations of the same period. Another open problem is to find unstable galaxy configurations in stellar dynamics. Collaborations in these problems between numerical and theoretical researchers are particularly crucial.
Problem 2: Boundary Effects.
Boundary effects play an major role physical plasmas. Many effects can occur at boundaries, for instance, chemical reactions with the surface material. An important focus of our program will be to design numerical schemes to capture possible singularity formation at boundaries and the propagation of singularities in a general 3D domain.
Problem 3: Landau Damping.
The concept of Landau damping has been a major source of controversy in the physics community for decades. In principle it could be checked numerically except it requires very longtime computations. The need for great accuracy is a challenge to the numerical community. Recent work has established Landau damping for the case of analytic data for the VlasovPoisson system. A central question is to investigate a possible Landau damping effect in the presence of a magnetic field.
Problem 4: Wellposedness.
A major open problem is whether the three dimensional VlasovMaxwell system is globally wellposed as a Cauchy problem. All that is known is, on the one hand, global existence but not uniqueness of weak solutions and, on the other, wellposedness and regularity of solutions assuming either some symmetry or almost neutrality. Computation of asymmetric solutions should shed light on the general problem.