Workshop II: The Boltzmann Equation: DiPerna-Lions Plus 20 Years
April 15 - 17, 2009
Organizing Committee |
Scientific Overview |
Speaker List
Application/Registration |
Contact Us
Organizing Committee
Irene Gamba
(University of Texas at Austin)
Reinhard Illner
(University of Victoria)
Dave Levermore
(University of Maryland, Department of Mathematics)
Laure Saint Raymond
(Université de Paris VI (Pierre et Marie Curie))
Marshall Slemrod
(University of Wisconsin-Madison, Mathematics)
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Scientific Overview
Over the last two decades there has been significant progress in the mathematical analysis of kinetic equations, in particular the Boltzmann and Vlasov type particle evolution equations. Areas of discussion of this three-day workshop will include the spatially homogeneous and inhomogeneous Boltzmann equation, their hydrodynamic limits, and collisionless Vlasov models in plasma in the classical and relativistic framework with the coupling to Maxwell-Poisson systems.
For the space homogeneous collisional problem advances have led to a better understanding of regularity and asymptotic behavior. New tools have emerged, including sharp estimates to control very general collision kernels, analysis of high-energy tails and information on asymptotic behavior.
For spatially inhomogeneous scenarios, there has been progress on the initial-boundary value problem for "small-data'' perturbations of Maxwellian solutions to the inhomogeneous Boltzmann and corresponding linearized equation, as well as on shock waves, the study of the long time behavior and decay rates of such solutions to Maxwellian equilibria, and on hydrodynamic limits for a wide class of collision kernels. For plasmas and other related models from statistical physics, such as those involving relativistic Einstein Vlasov Maxwell systems, the workshop will focus on issues including existence, stability and long time behavior of solutions.
It is the aim of this workshop to bring together scientists from mathematics, physics, statistical physics, and related disciplines. It will entertain both survey lectures and more technical talks.
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Invited Speakers
Kazuo Aoki
(Kyoto University)
Emanuele Caglioti
(Università di Roma “La Sapienza”)
Laurent Desvillettes
(École Normale Supérieure de Cachan)
Irene Gamba
(University of Texas at Austin)
Robert Glassey
(Indiana University)
Francois Golse
(École Polytechnique)
S.-Y. Ha
(Seoul National University)
Reinhard Illner
(University of Victoria)
Dave Levermore
(University of Maryland)
Tai-Ping Liu
(Stanford University)
Vladislav Panferov
(California State University, Northridge (CSU Northridge))
Robert Strain
(Harvard University)
S.-H. Yu
(National University of Singapore)
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Application/Registration
An application/registration form is available at:
https://www.ipam.ucla.edu/elements/choose.aspx?pc=ktws2
The application part is for people requesting financial support to attend
the workshop. If you don't intend to do this, you may simply register.
We urge you to apply as early as possible. Applications received by March 4, 2009 will receive fullest consideration.
Letters of reference may be sent to the address or email address below. Successful applicants will be notified as soon as funding decisions are made.
We have funding especially to support the attendance of recent PhD's, graduate
students, and researchers in the early stages of their career; however,
mathematicians and scientists at all levels who are interested in this area
are encouraged to apply for funding. Encouraging the careers of women and
minority mathematicians and scientists is an important component of IPAM's
mission and we welcome their applications.
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Contact Us:
Institute for Pure and Applied Mathematics (IPAM)
Attn: KTWS2
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: 
Website:
http://www.ipam.ucla.edu/programs/ktws2/
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