Global existence for the euler-maxwell system

Research output: Contribution to journalArticle

Abstract

The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existence of small solutions to this system set in the whole three-dimensional space, by combining the space-time resonance method (to obtain decay) and energy estimates (to control high frequencies). The non-integrable decay of the solutions makes it necessary to examine resonances within the energy estimate argument.

Original languageEnglish (US)
Pages (from-to)469-503
Number of pages35
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume47
Issue number3
DOIs
StatePublished - May 1 2014

ASJC Scopus subject areas

  • Mathematics(all)

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