On the solvability and asymptotics of the Boltzmann equation in irregular domains.

被引：9

作者：

Arkeryd, L ^{[1
]}

Heintz, A ^{[1
]}

机构：

[1] CHALMERS UNIV TECHNOL,S-41296 GOTHENBURG,SWEDEN

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1997年 / 22卷 / 11-12期

关键词：

D O I：

10.1080/03605309708821334

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers the Boltzmann equation in irregular domains with finite Hausdorff measure of the boundary and a cone condition. The boundary interaction is of diffuse reflection type with constant temperature on the boundary. The main results obtained are existence in a DiPerna-Lions style, and strong convergence to equilibrium in L-1 when time tends to infinity, for the Boltzmann equation with Maxwellian boundary conditions in a bounded measure sense.

引用

页码：2129 / 2152

页数：24

共 21 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2] ON DIFFUSE REFLECTION AT THE BOUNDARY FOR THE BOLTZMANN-EQUATION AND RELATED EQUATIONS [J].