Global solutions to the relativistic Landau-Maxwell system in the whole space

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

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Original languageEnglish
Pages (from-to)602-634
Journal / PublicationJournal des Mathematiques Pures et Appliquees
Issue number6
Publication statusPublished - Jun 2012


The relativistic Landau-Maxwell system is one of the most fundamental models for description of the dynamics of dilute cold plasma in which particles interact through the Coulomb collision in the self-consistent electro-magnetic field. By constructing the compensating functions to this system and by using the structure of the equations, we obtain the global existence of classical solutions to this system in the whole space. For a simpler model, that is, the relativistic Landau-Poisson system, the analysis yields the optimal convergence rate in time to the equilibrium. © 2011 Elsevier Masson SAS.

Research Area(s)

  • Convergence rate, Energy estimate, Global classical solution, Relativistic Landau-Maxwell system