Boundary value problems for the stationary Vlasov-Maxwell system
Boundary value problems for the stationary Vlasov-Maxwell system
复制标题
固定 Vlasov-Maxwell 系统的边值问题
DOI：
10.1515/form.1992.4.499
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
F. Poupaud
中科院分区：
文献类型：
--
作者：
F. Poupaud
Vlasov-Maxwell方程提供了自洽电磁场中粒子流动的动力学描述。本文的目的是证明具有任意大数据的边值问题的平稳解的存在性。主要思想在于使用Vlasov方程的显式上解，允许约束粒子浓度和通量。关键的一点是电场是互斥的。本文首先对相对论性的弗拉索夫-麦克斯韦系统进行了数学分析。然后，将结果推广到经典力学、多粒子系统和玻尔兹曼- nvlasov -泊松问题。1991数学学科分类：35F30、76P05、78A35、82A45。
The Vlasov-Maxwell equations provide a kinetic description of the flow of particles in a self-consistent electromagnetic field. The aim of this paper is to prove the existence of stationary Solutions for boundary value problems with arbitrary large data. The main idea consists in using explicit upper Solutions for the Vlasov equation that allow to bound the particles concentration and flux. A key point is that the electric field is repulsive. The mathematical analysis is first given for the relativistic Vlasov-Maxwell System. Next, the results are extended to classic mechanics, Systems with several species of particles and BoltzmannVlasov-Poisson problems. 1991 Mathematics Subject Classification: 35F30, 76P05, 78A35, 82A45.