The method of singular equations in boundary value problems in kinetic theory

被引：0

作者：

Latyshev, AV ^{[1
]}

Yushkanov, AA ^{[1
]}

机构：

[1] Moscow Oblast State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2005年 / 143卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

boundary value problem; kinetic equation; Kramers problem; thermal slip problem; isothermal slip coefficient; thermal slip coefficient;

D O I：

10.1007/s11232-005-0111-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a new effective method for solving boundary value problems in kinetic theory. The method permits solving boundary value problems for mirror and diffusive boundary conditions with an arbitrary accuracy and is based on the idea of reducing the original problem to two problems of which one has a diffusion boundary condition for the reflection of molecules from the wall and the other has a mirror boundary condition. We illustrate this method with two classical problems in kinetic theory: the Kramers problem (isothermal slip) and the thermal slip problem. We use the Bhatnagar-Gross-Krook equation (with a constant collision frequency) and the Williams equation (with a collision frequency proportional to the molecular velocity).

引用

页码：854 / 869

页数：16

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