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 Vlasov-Poisson-Landau system in a periodic box

Prof. Yan Guo

Brown University

Abstract:  The classical Vlasov-Poisson-Landau system describes dynamics of a collisional plasma interacting with its own electrostatic field as well as its grazing collisions. Such grazing collisions are modeled by the famous Landau (Fokker-Planck) collision kernel, proposed by Landau in 1936. We construct global unique solutions to such a system for initial data which have small weighted H2 norms, but can have large Hk(k 3) norms with high velocity moments.