Existence of solutions to the stationary linear Boltzmann equation

被引：8
|
作者：
Falk, L [1 ]
机构：
[1] Chalmers Univ, Dept Math, S-41296 Gothenburg, Sweden
来源：
TRANSPORT THEORY AND STATISTICAL PHYSICS | 2003年 / 32卷 / 01期
关键词：
stationary Boltzmann equation; existence; uniqueness; diffuse boundary reflection; convex boundary; measure-valued solution;
D O I：
10.1081/TT-120018651
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article considers the stationary linear Boltzmann equation in a convex bounded domain with Cl-boundary, and at the ingoing boundary, either with given indata, diffuse reflection or a combination of both. First, a unique weak P-solution is constructed in the case with combined indata, and boundedness of its higher moments is established. Then under some restrictions on the collision operator, the existence of a weak L-1-solution is proved for the case of pure diffuse reflection.
引用
收藏
页码：37 / 62
页数：26
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