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 language | English (US) |
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Pages (from-to) | 469-503 |
Number of pages | 35 |
Journal | Annales Scientifiques de l'Ecole Normale Superieure |
Volume | 47 |
Issue number | 3 |
DOIs | |
State | Published - May 1 2014 |
ASJC Scopus subject areas
- General Mathematics