The euler-poisson system in 2D: Global stability of the constant equilibrium solution

Alexandru D. Ionescu, Benoit Pausader

Research output: Contribution to journalArticle

26 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)761-826
Number of pages66
JournalInternational Mathematics Research Notices
Volume2013
Issue number4
DOIs
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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