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

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

2011-10-04

arxiv.org/abs/1110.0798v1

Mathematics

Analysis of PDEs

39 pages

Scientific paper

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.

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