The Existence of Stable BGK Waves

被引：7

作者：

Guo, Yan ^{[1
]}

Lin, Zhiwu ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 353卷 / 03期

基金：

美国国家科学基金会;

关键词：

NUMERICAL SIMULATIONS; LONG-TIME; INSTABILITY; EQUILIBRIA; PLASMA; STABILITY; SYSTEMS; MODES;

D O I：

10.1007/s00220-017-2873-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The 1D Vlasov-Poisson system is the simplest kinetic model for describing an electrostatic collisionless plasma, and the BGK waves are its famous exact steady solutions. They play an important role on the long time dynamics of a collisionless plasma as potential "final states" or "attractors", thanks to many numerical simulations and observations. Despite their importance, the existence of stable BGK waves has been an open problem since the discovery of BGK waves in 1957. In this paper, linearly stable BGK waves are constructed near homogeneous states.

引用

页码：1121 / 1152

页数：32

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