Article ID Journal Published Year Pages File Type
4613292 Journal of Differential Equations 2008 20 Pages PDF
Abstract

In this paper, we consider the regularities of the solutions to the Fokker–Planck–Boltzmann equation. In particular, we prove that for hard sphere case, the strong solution constructed by Li and Matsumura [H. Li, A. Matsumura, Behavior of the Fokker–Planck–Boltzmann equation near a Maxwellian, Arch. Ration. Mech. Anal. (2008), in press] near Maxwellian becomes immediately smooth with respect to all variables as long as t>0.

Related Topics
Physical Sciences and Engineering Mathematics Analysis