Measure solutions for the steady nonlinear Boltzmann equation in a slab

被引：3
|
作者：
Cercignani, C [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1998年 / 197卷 / 01期
关键词：
Boundary Condition; Reflection; Unit Area; Physical Model; Total Mass;
D O I：
10.1007/s002200050447
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that the Boltzmann equation in a slab, with boundary conditions of diffuse reflection and mass conservation at the wall and assigned total mass (per unit area) in a slab has at least one non-negative measure-valued solution. The physical model is provided by Maxwellian molecules with angular cutoff. The equation is rewritten after a change of variables which is shown to be invertible.
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页码：199 / 210
页数：12
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