The Euler--Poisson system in 2D: global stability of the constant equilibrium solution
Analysis of PDEs
2011-10-05 v1
Abstract
We consider the (repulsive) Euler-Poisson system for the electrons in two dimensions and prove that small smooth perturbations of a constant background exist for all time and remain smooth (never develop shocks). This extends to 2D the work of Guo.
Cite
@article{arxiv.1110.0798,
title = {The Euler--Poisson system in 2D: global stability of the constant equilibrium solution},
author = {Alexandru D. Ionescu and Benoit Pausader},
journal= {arXiv preprint arXiv:1110.0798},
year = {2011}
}
Comments
39 pages