The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution

Alexandru D. Ionescu, Benoît Pausader

Type: Article

Publication Date: 2012-02-14

Citations: 87

DOI: https://doi.org/10.1093/imrn/rnr272

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 6.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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