STATIONARY SOLUTIONS OF BOUNDARY-VALUE-PROBLEMS FOR A MAXWELL-BOLTZMANN SYSTEM MODELING DEGENERATE SEMICONDUCTORS

被引：8

作者：

NOURI, A

POUPAUD, F

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1995年 / 26卷 / 05期

关键词：

BOUNDARY VALUE PROBLEM; STATIONARY SOLUTIONS; VLASOV-MAXWELL SYSTEMS; FERMI-DIRAC DISTRIBUTION; SEMICONDUCTOR;

D O I：

10.1137/S0036141093245604

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

One of the most accurate models for carrier transport in semiconductors is based on the Maxwell-Boltzmann system. Degeneracy effects are taken into account by the nonlinearity of the collisions operator. We use two recent techniques developed for the study of kinetic models, upper solutions and mean compactness results, to prove existence of stationary solutions with arbitrary large boundary data, in any kind of geometries.

引用

页码：1143 / 1156

页数：14

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