Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

3 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)857-888
Journal / PublicationActa Mathematica Scientia
Volume38
Issue number3
Online published26 Apr 2018
Publication statusPublished - May 2018

Abstract

In this article, we are concerned with the nonlinear stability of the rarefaction wave for a one-dimensional macroscopic model derived from the Vlasov-Maxwell-Boltzmann system. The result shows that the large-time behavior of the solutions coincides with the one for both the Navier-Stokes-Poisson system and the Navier-Stokes system. Both the time-decay property of the rarefaction wave profile and the influence of the electromagnetic field play a key role in the analysis.

Research Area(s)

  • energy method, rarefaction wave, Vlasov-Maxwell-Boltzmann system