The Euler--Poisson system in 2D: global stability of the constant equilibrium solution

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.

39 pages

References in corpus (1)

• Global Smooth Ion Dynamics in the Euler-Poisson System

Cited by in corpus (1)

• The Cauchy problem for the two dimensional Euler-Poisson system