Organizing Committee
 Kazuo Aoki
Kyoto University  Yan Guo
Brown University  Shi Jin
University of Wisconsin  Lorenzo Pareschi
Università di Ferrara  Laure SaintRaymond
Ecole Normale Suptrieure
Abstract
The celebrated Boltzmann equation is the foundation of the kinetic theory for dilute collections of particles, which undergo elastic binary collisions. The Boltzmann theory is at the center of a series of multiscaled physical models that connect microscopic multiparticle models to macroscopic fluid models such as the NavierStokes equations:
The first arrow refers the BoltzmannGrad limit, while the second arrow refers to various hydrodynamic limits which lead to the fundamental equations of fluids. The Boltzmann theory therefore provides a practical tool and machinery for deriving macroscopic models in broad physical applications. Due to its importance, there has been an explosion of mathematical studies, both theoretical and numerical, for the Boltzmann equation.A major open problem that remains is to determine whether or not smooth initial data would lead to a unique globalintime solution of the Boltzmann equation. Nevertheless, there have been exciting new developments in recent years. The focus of the program is to bring computational and theoretical people together to investigate problems of fundamental importance.
Confirmed Speakers & Participants
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Giacomo Albi
Università di Ferrara

Kazuo Aoki
Kyoto University

Diogo Arsenio
Ecole Normale Suptrieure

Claude Bardos
University of Paris

Stephane Brull
Universite de Bordeaux I

Frederique Charles
Universite de Paris VI (Pierre et Marie Curie)

Laurent Desvillettes
Ecole Normale Superior ParisSaclay

Emre Esenturk
University of Pittsburgh

Raffaele Esposito
Università di L'Aquila

Francis Filbet
Universite de Lyon II

Irene Gamba
University of Texas at Austin

Yan Guo
Brown University

Wei Guo
Colorado School of Mines

Jeffrey Haack
University of Texas at Austin

Nicolas Hadjiconstantinou
Massachusetts Institute of Technology

Mahir Hadzic
Massachusetts Institute of Technology

Cory Hauck
Oak Ridge National Laboratory

Andong He
Brown University

Frederic Herau
Universite de Nantes

Jingwei Hu
University of Texas at Austin

Juhi Jang
University of Southern California

Ahmed Kaffel
University of Wisconsin

Chanwoo Kim
University of Cambridge

Charles Levermore
University of Maryland

Fengyan Li
Rensselaer Polytechinic Institute

Qin Li
California Institute of Technology

Tong Li
University of Iowa

Rossana Marra
University of Rome Tor Vergata

Nader Masmoudi
Courant Institute of Mathematical Sciences at NYU

Stephane Mischler
Universite de ParisDauphine

Jose Morales
University of Texas at Austin

Anne Nouri
AixMarseille University

Xueke Pu
Chongqing University

Jingmei Qiu
University of Houston

Amelie Rambaud
Institut Camille Jordan, Universite Lyon 1

Thomas Rey
Universite ClaudeBernard (Lyon I)

Matthew Reyna
Rensselaer Polytechnic Institute

Luis Miguel Rodrigues
Universite ClaudeBernard (Lyon I)

Laure SaintRaymond
Ecole Normale Suptrieure

ChiWang Shu
Brown University

Marshall Slemrod
University of Wisconsin

Vedran Sohinger
Pennsylvania State University

Robert Strain
University of Pennsylvania

Walter Strauss
Brown University

Henning Struchtrup
University of Victoria

Shigeru Takata
Kyoto University

Maja Taskovic
University of Pennsylvania

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

MinhBinh Tran
Universite de Paris XIII (ParisNord)

Ariane Trescases
Ecole Normale Superior ParisSaclay

Tetsuro Tsuji
Kyoto University

Kevin Urban
New Jersey Institute of Technology

Kent Van Vels
University of Texas at Austin

Li Wang
University of Buffalo

Dongming Wei
University of Wisconsin

Miles Wheeler
New York University Courant Institute of Mathematical Sciences

Lei Wu
Brown University

Xiang Xu
Carnegie Mellon University

Bokai Yan
University of Wisconsin

Tong Yang
City University of Hong Kong

Chang Yang
Universite de Lille I (Sciences et Techniques de Lille Flandres Artois)

He Yang
Rensselaer Polytechnic Institute

Takeru Yano
Osaka University

ShihHsien Yu
National University of Singapore

Chenglong Zhang
University of Texas at Austin

Keya Zhu
University of Pennsylvania
Workshop Schedule
Monday, November 7, 2011
Tuesday, November 8, 2011
Wednesday, November 9, 2011
Thursday, November 10, 2011
Friday, November 11, 2011
Tutorial Week Schedule
Monday, October 31, 2011
Time  Event  Location  Materials 

1:30  2:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
2:00  4:00pm EDT  An introduction to Collisional (Boltzmanntype) models in Kinetic theory  Robert Strain, University of Pennsylvania  11th Floor Lecture Hall 
Tuesday, November 1, 2011
Time  Event  Location  Materials 

2:30  3:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday, November 2, 2011
Time  Event  Location  Materials 

2:30  3:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday, November 3, 2011
Time  Event  Location  Materials 

1:50  2:00pm EDT  ICERM Long Term Visitor Group Photo  11th Floor Lecture Hall  
2:00  4:00pm EDT  An introduction to spectral approximation for Boltzmann equation  Francis Filbet, Universite Claude Bernard, Lyon I  11th Floor Lecture Hall  
4:00  4:30pm EDT  Coffee/Tea Break  11th Floor Collaborative Space 
Friday, November 4, 2011
Time  Event  Location  Materials 

10:00  12:00pm EDT  An introduction to spectral approximation for Boltzmann equation  Francis Filbet, Universite Claude Bernard, Lyon I  10th Floor Classroom  
2:00  4:00pm EDT  Asymptotic analysis for boundaryvalue problems of the Boltzmann equation  Kazuo Aoki, Kyoto University  10th Floor Classroom  
4:00  4:30pm EDT  Coffee/Tea Break  10th Floor 
Problems
Problem 1: Boundary Effects.
Boundary effects play an important role in the dynamics of particles confined in a bounded region. Yet its mathematical study is at an early stage. This is due to the fact that solutions to the Boltzmann equation in general will develop singularities. The focus is to investigate the formation and propagation of singularities, both from numerical and theoretical points of view.
Problem 2: Hydrodynamic Limits.
There have been lots of studies of hydrodynamic limits of the Boltzmann equation. The focus in our program will be on error estimates and higherorder expansions of hydrodynamic limits both from the theoretical point of view and from the point of view of numerical simulation. Boundary and initial layer analysis for hydrodynamic limits, which has been barely studied, is an important area that is ready for investigation.
Problem 3: BoltzmannGrad Limit.
There has been little mathematical work in this direction since the work of Lanford. The focus will be on boundary effects in the BoltzmannGrad limit, and on the application of Lanford's proof to establish the BoltzmannGrad limit for other particle systems of physical importance. Numerical simulations at the particle level will play an key role.