Article ID Journal Published Year Pages File Type
4620061 Journal of Mathematical Analysis and Applications 2009 9 Pages PDF
Abstract

The study of Cauchy problem of the Boltzmann equation is important in both theory and applications. Existence of global solutions to the equation and uniform stability of solutions in the absence of external force were introduced in the previous work on the Boltzmann equation. In this paper, we will investigate the uniform stability of solutions in L1 for the Cauchy problem of the Boltzmann equation when there is an external force for the case of soft potentials.

Related Topics
Physical Sciences and Engineering Mathematics Analysis