Global existence for the Euler-Maxwell system
Analysis of PDEs
2011-07-11 v1
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, dispersive estimates, localization estimates and energy estimates. An important novelty is that we can prove a very slow growth of high derivatives even with a nonintegrable decay by reiterating the energy estimate.
Cite
@article{arxiv.1107.1595,
title = {Global existence for the Euler-Maxwell system},
author = {Pierre Germain and Nader Masmoudi},
journal= {arXiv preprint arXiv:1107.1595},
year = {2011}
}
Comments
33 pages