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Organizing Committee
Columbia University
Universite de Lyon II
University of Texas at Austin
Brown University
Brown University
Brown University
Abstract
Kinetic theory plays a central role in many areas of mathematical physics, from nanoscales to continuum mechanics. It is an indispensable tool in the mathematical description of applications in physical and social sciences, from its origin in dilute gases, to wide applications such as semi-conductors, polymers, cells, plasma, galaxies, traffic networking, and swarming. The number of particles is typically more than 1020.
On the one hand, kinetic models provide more detailed and accurate description of regimes where hydrodynamic equations are either invalid or simply not available. On the other hand, because modern computers are still inadequate in simulating the molecular or even quantum dynamics in emerging industrial needs in micro- and nanotechnology, kinetic equations provide models that can capture important features of microscopic or quantum phenomena with a manageable computational cost. Kinetic theory is at the core of multiscale modeling, which connects fundamental invisible microscopic models with macroscopic models. Many challenges remain in both the analysis and efficient computational techniques for such problems. This semester-long program in kinetic theory and computation will provide the participants with an introduction to a broad range of analytical and computational aspects of kinetic theory. The program will be centered around three broad topics, for each of which an international workshop will be held.
On the one hand, kinetic models provide more detailed and accurate description of regimes where hydrodynamic equations are either invalid or simply not available. On the other hand, because modern computers are still inadequate in simulating the molecular or even quantum dynamics in emerging industrial needs in micro- and nanotechnology, kinetic equations provide models that can capture important features of microscopic or quantum phenomena with a manageable computational cost. Kinetic theory is at the core of multiscale modeling, which connects fundamental invisible microscopic models with macroscopic models. Many challenges remain in both the analysis and efficient computational techniques for such problems. This semester-long program in kinetic theory and computation will provide the participants with an introduction to a broad range of analytical and computational aspects of kinetic theory. The program will be centered around three broad topics, for each of which an international workshop will be held.
Image courtesy of Francis Filbet. Image represents the density distribution f(x,v) where the space variable lives in the torus (periodic boundary conditions) and v in the whole space
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Semester Schedule
Wednesday, September 07, 2011
8:30 AM - 5:00 PM EDT
Long Term visitors should feel free to come to ICERM at any time during the day to pick up their welcome packet and office key.
Location: 11th Floor Administrative Offices
Thursday, September 08, 2011
8:30 AM - 5:00 PM EDT
Nothing formal scheduled
Friday, September 09, 2011
9:00 - 10:00 AM EDT
Introduction to Vlasov Models - Walter Strauss, Brown University
Location: 10th Floor Seminar Room
10:00 - 11:00 AM EDT
Introduction to Computations - Jingmei Qiu, University of Houston
Location: 10th Floor Seminar Room
11:00 AM - 12:00 PM EDT
Introduction to Boltzmann Models - Yan Guo, Brown University
Location: 10th Floor Seminar Room
2:00 - 4:00 PM EDT
Mentor/Mentee introductions Postdoc and Graduate Student Presentations - Postdocs should be prepared to give a 15 minute talk on their research; grad students should be prepared to give a 5 minute talk
Location: 11th Floor Lecture Hall
4:00 - 4:30 PM EDT
Welcome Coffee and Tea
Location: 11th Floor Collaborative Space
Monday, September 12, 2011
1:30 - 3:00 PM EDT
Introduction to Kinetic Theory - Clement Mouhot, University of Cambridge
Location: 11th Floor Lecture Hall
3:00 - 3:30 PM EDT
Coffee/Tea Break
Location: 11th Floor Collaborative Space
3:30 - 5:00 PM EDT
Introduction to Kinetic Theory - Clement Mouhot, University of Cambridge
Location: 11th Floor Lecture Hall
Tuesday, September 13, 2011
10:30 AM - 12:00 PM EDT
Numerical methods for the Vlasov Equation - Eric Sonnendrucker, Université de Strasbourg I (Louis Pasteur)
Location: 10th Floor Seminar Room
2:30 - 4:00 PM EDT
Numerical methods for the Vlasov Equation - Eric Sonnendrucker, Université de Strasbourg I (Louis Pasteur)
Location: 11th Floor Lecture Hall
