Measure Solutions for the Steady Nonlinear Boltzmann Equation in a Slab

被引：0
|
作者：
Carlo Cercignani
机构：
[1] Dipartimento di Matematica,
[2] Politecnico di Milano,undefined
[3] I–20133 Milano,undefined
[4] Italy,undefined
来源：
Communications in Mathematical Physics | 1998年 / 197卷
关键词：
Boundary Condition; Reflection; Unit Area; Physical Model; Total Mass;
D O I：
暂无
中图分类号：
学科分类号：
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：11
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