Article ID Journal Published Year Pages File Type
841222 Nonlinear Analysis: Theory, Methods & Applications 2012 20 Pages PDF
Abstract

In this paper, we consider the specular reflective boundary problem for the one-dimensional Boltzmann equation with soft potentials. It is shown that the solution converges to a global Maxwellian M+M+ under certain initial conditions. In order to prove this, we construct a local Maxwellian M̄ which is very close to M+M+ as an ansatz of MM and obtain the stability of M̄. Our proof is based on elementary energy estimates and detailed properties of Burnett functions.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, ,