MEASURE SOLUTIONS OF THE STEADY BOLTZMANN-EQUATION IN A SLAB

被引：36

作者：

ARKERYD, L

CERCIGNANI, C

ILLNER, R

机构：

[1] POLITECN MILAN,DIPARTMENTO MATEMAT,I-20133 MILAN,ITALY

[2] UNIV VICTORIA,DEPT MATH,VICTORIA V8W 3P4,BC,CANADA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 142卷 / 02期

关键词：

D O I：

10.1007/BF02102064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the steady Boltzmann equation in a slab [0, a] has solutions x --> mu-x such that the ingoing boundary measures mu-0\{zeta > 0} and mu-a\{zeta < 0} can be prescribed a priori. The collision kernel is truncated such that particles with small x-component of the velocity have a reduced collison rate.

引用

页码：285 / 296

页数：12

共 10 条

[1] A BOUNDARY-VALUE PROBLEM FOR DISCRETE-VELOCITY MODELS [J].