Stationary Solutions of the Vlasov-Poisson System with Diffusive Boundary Conditions

被引：6

作者：

Esentuerk, Emre ^{[1
]}

Hwang, Hyung Ju ^{[2
]}

Strauss, Walter A. ^{[3
]}

机构：

[1] Pohang Univ Sci & Technol, Pohang, Gyungbuk, South Korea

[2] Pohang Univ Sci & Technol Pohang, Dept Math, Gyungbuk 790784, South Korea

[3] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 2015年 / 25卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Vlasov-Poisson; Plasma; Diffusive boundary; GLOBAL EXISTENCE; MAXWELL SYSTEM; INITIAL DATA; HALF-SPACE; REGULARITY; EQUATIONS; DOMAINS;

D O I：

10.1007/s00332-015-9231-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stationary solutions of the Vlasov-Poisson system for a plasma are studied with general diffusive boundary conditions. The distribution function , which depends on the local energy and angular momentum, is determined uniquely under certain integrability and decay assumptions on the diffusive kernels and the particle injection intensities. The resulting nonlinear Poisson equation is then solved for the electric potential . We study the existence and uniqueness of its solutions in one and higher dimensions under a variety of settings.

引用

页码：315 / 342

页数：28