LOCAL WELL-POSEDNESS OF THE VLASOV-POISSON-LANDAU SYSTEM AND RELATED MODELS

被引：0

作者：

Flynn, Patrick ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Los Angeles, CA 90095 USA

来源：

基金：

美国国家科学基金会;

关键词：

Local well-posedness; Vlasov-Poisson-Landau system; kinetic theory; massless electron limit; massless electron system; Landau equation; EQUATION; LIMIT; ASYMPTOTICS; EXISTENCE;

D O I：

10.3934/krm.2024027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local well-posedness for the Vlasov-Poisson-Landau system and the variant with massless electrons in a 3D periodic spatial domain for large initial data. This is accomplished by propagating weighted anisotropic L-2-based Sobolev norms. In the case of the massless electron system, we also carry out an analysis of the Poincare -Poisson system. This is a companion paper to the author's previous work with Yan Guo [6].

引用

页码：583 / 608

页数：26

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