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 language||English (US)|
|Number of pages||35|
|Journal||Annales Scientifiques de l'Ecole Normale Superieure|
|State||Published - May 1 2014|
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