Asymptotic behavior on the Milne problem with a force term

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Yang, Xiongfeng

关键词: Boltzmann equation;    Milne problem;    Asymptotic behavior;    External force;   

DOI  :  10.1016/j.jde.2011.12.008

来源: Elsevier

【 摘 要 】

This paper studies the existence, uniqueness and asymptotic behavior of the solution for a half-space linearized stationary Boltzmann equation with an external force term, in the case of a specified incoming distribution at the boundary and a given mass flux. Without the external force, the solution of the stationary Boltzmann equation has been proved to tend toward a constant state, which is independent of the space variable. Due to the presence of the external force, we show that the solution tends to some function which depends on the space variable. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free