The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures

被引：9

作者：

Bardos, Claude ^{[2
,3
]}

Yang, Xiongfeng ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Univ Paris 07, Paris, France

[3] LAN Univ Pierre & Marie Curie, Paris, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 37卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Boltzmann equation; Dilute gas dynamic; Gas mixtures; Knudsen layer; BOLTZMANN-EQUATION; LIMIT;

D O I：

10.1080/03605302.2011.624149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The kinetic boundary layer for gas mixtures is described by a half space boundary value problem for the two-species steady Boltzmann equation with an incoming distribution. We consider it around a drifting normalized bi-Maxwellian and prove that the boundary layer problem is well-posed when the drifting velocity u exceeds the sound speed root 5/3, but one (respectively five, six) additional condition must be imposed when 0 < u < root 5/3 (respectively -root 5/3 < u <= 0 and u < -root 5/3).

引用

页码：1286 / 1314

页数：29

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