The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction

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Original languageEnglish
Pages (from-to)515-550
Journal / PublicationKinetic and Related Models
Issue number3
Online publishedMay 2016
Publication statusPublished - Sep 2016
Externally publishedYes


We are concerned with the Cauchy problem of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. For perturbative initial data with suitable regularity and integrability, we prove the large time stability of solutions to the relativistic Vlasov-Maxwell-Boltzmann system, and also obtain as a byproduct the convergence rates of solutions. Our proof is based on a new time-velocity weighted energy method and some optimal temporal decay estimates on the solution itself. The results also extend the case of "hard ball" model considered by Guo and Strain [Comm. Math. Phys. 310: 49-673 (2012)] to the short range interactions.

Research Area(s)

  • Coercivity, Large time stability, Optimal temporal decay, Relativistic Vlasov-Maxwell-Boltzmann system, Time-velocity weighted energy method

Citation Format(s)