A BOUNDARY-VALUE PROBLEM FOR THE STATIONARY VLASOV-POISSON EQUATIONS - THE PLANE DIODE

被引：62

作者：

GREENGARD, C

RAVIART, PA

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

[2] ECOLE POLYTECH,CTR MATH APPL,F-75230 PARIS 05,FRANCE

[3] ECOLE NORM SUPER,CTR MATH APPL,F-75231 PARIS 05,FRANCE

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1990年 / 43卷 / 04期

关键词：

D O I：

10.1002/cpa.3160430404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company

引用

页码：473 / 507

页数：35

共 8 条

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DEGOND P, ASYMPTOTIC ANAL ONE

[2] SELF-MODULATION OF AN INTENSE RELATIVISTIC ELECTRON-BEAM [J].