The Euler--Maxwell system for electrons: global solutions in $2D$
Analysis of PDEs
2017-05-24 v1
Abstract
A basic model for describing plasma dynamics is given by the Euler-Maxwell system, in which compressible ion and electron fluids interact with their own self-consistent electromagnetic field. In this paper we consider the "one-fluid" Euler--Maxwell model for electrons, in 2 spatial dimensions, and prove global stability of a constant neutral background.
Cite
@article{arxiv.1605.05340,
title = {The Euler--Maxwell system for electrons: global solutions in $2D$},
author = {Yu Deng and Alexandru D. Ionescu and Benoit Pausader},
journal= {arXiv preprint arXiv:1605.05340},
year = {2017}
}
Comments
Revised version