Organizing Committee
- Kazuo Aoki
Kyoto University - Yan Guo
Brown University - Shi Jin
University of Wisconsin - Lorenzo Pareschi
Università di Ferrara - Laure Saint-Raymond
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 multi-scaled physical models that connect microscopic multiparticle models to macroscopic fluid models such as the Navier-Stokes equations:
The first arrow refers the Boltzmann-Grad 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 global-in-time 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
Talks will be presented virtually or in-person as indicated in the schedule below.
- 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 Paris-Saclay
-
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 Paris-Dauphine
-
Jose Morales
University of Texas at Austin
-
Anne Nouri
Aix-Marseille University
-
Xueke Pu
Chongqing University
-
Jingmei Qiu
University of Houston
-
Amelie Rambaud
Institut Camille Jordan, Universite Lyon 1
-
Thomas Rey
Universite Claude-Bernard (Lyon I)
-
Matthew Reyna
Rensselaer Polytechnic Institute
-
Luis Miguel Rodrigues
Universite Claude-Bernard (Lyon I)
-
Laure Saint-Raymond
Ecole Normale Suptrieure
-
Chi-Wang 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)
-
Minh-Binh Tran
Universite de Paris XIII (Paris-Nord)
-
Ariane Trescases
Ecole Normale Superior Paris-Saclay
-
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
-
Shih-Hsien 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 (Boltzmann-type) 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 boundary-value 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 higher-order 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: Boltzmann-Grad Limit.
There has been little mathematical work in this direction since the work of Lanford. The focus will be on boundary effects in the Boltzmann-Grad limit, and on the application of Lanford's proof to establish the Boltzmann-Grad limit for other particle systems of physical importance. Numerical simulations at the particle level will play an key role.