The Euler--Maxwell system for electrons: global solutions in $2D$
arXiv:1605.05340 · doi:10.1007/s00205-017-1114-3
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.
Revised version