Relativistic unstable periodic BGK waves
type: Item
instance of: scholarly article
title: Relativistic unstable periodic BGK waves
zbMATH Open document ID: 0947.76099
author: Yan Guo
author: Walter A. Strauss
published in: Computational and Applied Mathematics
publication date: 1999-09-02T00:00:00Z
review text: The authors describe a collisionless plasma of ions and electrons by the relativistic Vlasov-Maxwell (RVM) procedure in order to avoid arbitrarily large speeds of nonrelativistic particles. To simplify the treatment, the calculations are performed in one spatial direction. The authors discuss the levels of instability in the formalism. The main result on the full nonlinear RVM system states that the solution shows exponential growth. The paper contains a detailed mathematical study of this statement.
reviewed by: Iván Abonyi
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 1295144
zbMATH Keywords: full nonlinear relativistic Vlasov-Maxwell system
zbMATH Keywords: exponential growth of solution
zbMATH Keywords: collisionless plasma
zbMATH Keywords: ions
zbMATH Keywords: electrons
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1295144