Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field

被引：4

作者：

Bostan, Mihai ^{[1
]}

机构：

[1] Univ Franche Comte, Math Lab, F-25030 Besancon, France

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2007年 / 28卷 / 04期

关键词：

Vlasov-Poisson equations; Vlasov-Maxwell equations; weak solutions;

D O I：

10.1007/s11401-005-0448-6

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

The aim of this work is to construct weak solutions for the three dimensional Vlasov-Poisson initial-boundary value problem with bounded electric field. The main ingredient consists of estimating the change in momentum along characteristics of regular electric fields inside bounded spatial domains. As direct consequences, the propagation of the momentum moments and the existence of weak solution satisfying the balance of total energy are obtained.

引用

页码：389 / 420

页数：32

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