Unstable BGK solitary waves and collisionless shocks
type: Item
instance of: scholarly article
title: Unstable BGK solitary waves and collisionless shocks
zbMATH Open document ID: 0944.35065
author: Yan Guo
author: Walter A. Strauss
published in: Communications in Mathematical Physics
publication date: 1999-06-02T00:00:00Z
review text: The Penrose condition for linearized instability is generalized to the relativistic case for a collisionless neutral plasma. A general one-dimensional equilibrium (a BGK wave) is considered that is either a collisionless shock or a solitary wave. The electric potential is then allowed to undergo a transition from one constant value to another as \(x\) changes from \(-\infty\) to \(\infty\). It is proved that if one of these constants satisfies the relativistic version of the Penrose condition, then the BGK wave is nonlinearly unstable. Periodic relativistic BGK waves of small amplitude are also considered and shown to be nonlinearly unstable.
reviewed by: Alan Jeffrey
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76Y05
zbMATH DE Number: 1294602
zbMATH Keywords: unstable solitary waves
zbMATH Keywords: collisionless shocks
MaRDI profile type: Publication
full work available at URL: s002200050389
OpenAlex ID: W2013254499
DOI: 10.1007/S002200050389
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description: scientific article; zbMATH DE number 1294602