The Solutions for the Boundary Layer Problem of Boltzmann Equation in a Half-Space

被引：0
作者：
Xiongfeng Yang
机构：
[1] Shanghai Jiao Tong University,Department of Mathematics
来源：
Journal of Statistical Physics | 2011年 / 143卷
关键词：
Boundary layer solutions; Cutoff hard potentials; Half-space; Boltzmann equation;
D O I：
暂无
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学科分类号：
摘要：
We study the half space boundary layer problem for Boltzmann equation with cut-off potentials in all the cases −3<γ≤1, while the boundary condition is imposed on the incoming particles of Dirichlet type, and the solution is assumed to approach to a global Maxwellian at the far field. The same as for cut-off hard sphere model, there is an implicit solvability condition on the boundary data which gives the co-dimensions of the boundary data in terms of positive characteristic speeds.
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页码：168 / 196
页数：28
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