Initial-boundary value problems for the Vlasov-Poisson equations in a half-space

被引：0
作者：
A. L. Skubachevskii
机构：
[1] Peoples’ Friendship University of Russia,
来源：
Proceedings of the Steklov Institute of Mathematics | 2013年 / 283卷
关键词：
Weak Solution; Bounded Domain; STEKLOV Institute; Classical Solution; Poisson Equation;
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摘要：
We consider initial-boundary value problems for the Vlasov-Poisson equations in a half-space that describe evolution of densities for ions and electrons in a rarefied plasma. For sufficiently small initial densities with compact supports and large strength of an external magnetic field, we prove the existence and uniqueness of classical solutions for initial-boundary value problems with different boundary conditions for the electric potential: the Dirichlet conditions, the Neumann conditions, and nonlocal conditions.
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页码：197 / 225
页数：28
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