Stationary solutions for the ellipsoidal BGK model in a slab

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Bang, Jeaheang¹  Yun, Seok-Bae² 

[1] Rutgers State Univ, Dept Math, Hill Ctr Busch Campus,110 Frelinghuysen Rd, Piscataway, NJ 08854 USA

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

关键词: Ellipsoidal BGK model;    Boltzmann equation;    Kinetic theory of gases;    Boundary value problem in a slab;    Inflow boundary conditions;   

DOI  :  10.1016/j.jde.2016.08.022

来源: Elsevier

【 摘 要 】

We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free