Kinetic Description of Multiscale Phenomena

The Annual Kinetic FRG Meeting
May 23-26, 2011

Van Vleck Hall
Department of Mathematics
University of Wisconsin -Madison
Madison, WI 53706

The Navier-Stokes limit of the Boltzmann equation with electromagnetic forces

Prof. Laure Saint-Raymond

École Normale Supérieure

Abstract:  This joint work with Diogo Arsenio is concerned with the Navier-Stokes limit of the Boltzmann equation with rough - possibly self-induced - force fields. In addition to the different tools usually introduced for the study of hydrodynamic limits, it requires improved L¹ hypoelliptic estimates for kinetic transport equations, as well as a careful study of time oscillations.