A boundary-value problem for the stationary vlasov-poisson equations: The plane diode
A boundary-value problem for the stationary vlasov-poisson equations: The plane diode
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平稳 vlasov-poisson 方程的边值问题：平面二极管
DOI：
10.1002/cpa.3160430404
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
P. Raviart
中科院分区：
文献类型：
--
作者：
C. Greengard;P. Raviart
研究了空间一维域中的平稳Vlasov-Poisson边值问题。这些方程描述了平面二极管中的电子流动。当边界条件（阴极发射分布）是超线性衰减的有界函数或狄拉克质量时，存在性得到证明。证明了（物理上真实的）边界条件的唯一性，这些边界条件是速度变量的递减函数。结果表明，狄拉克质量边界条件并不总是具有唯一性。
The stationary Vlasov-Poisson boundary value problem in a spatially one-dimensional domain is studied. The equations describe the flow of electrons in a plane diode. Existence is proved when the boundary condition (the cathode emission distribution) is a bounded function which decays super-linearly or a Dirac mass. Uniqueness is proved for (physically realistic) boundary conditions which are decreasing functions of the velocity variable. It is shown that uniqueness does not always hold for the Dirac mass boundary conditions.