Numerical Analysis Seminar

Thursday, November 2, 2006

Speaker: Thierry Goudon, Team SIMPAF - INRIA Futurs & CNRS - Univ. Lille
Title: Kinetic Equations, Hydrodynamic Limit and Applications
Time: 2:00-3:00 pm
Place: Blocker 628

Abstract

A well-known example of hydrodynamic limit is the passage from the Boltzmann equation to the Euler or the Navier-Stokes system. We will present a few other examples of such asymptotic problems, with applications in astrophysics, neutron transport, semiconductors theory, biology, etc... We will detail some of the mathematical tools that are used to treat these problems. It is also relevant to consider situations where the hydrodynamic limit couples to other phenomena like homogenization, due to resonant oscillations of the coefficients. Finally, we will discuss models that couple a kinetic equation to a system of fluid equations, a situation which arises in radiative transfer theory of the modeling of fluid/particles flows.

Last revised: 10/27/06 By: christov@math