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

Author(s): Ionescu, Alexandru D; Pausader, Benoit

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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].
Publication Date: 1-Jan-2013
Electronic Publication Date: 14-Feb-2012
Citation: Ionescu, Alexandru D, Pausader, Benoit. (2013). The Euler-Poisson System in 2D: Global Stability of the Constant Equilibrium Solution. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 761 - 826. doi:10.1093/imrn/rnr272
DOI: doi:10.1093/imrn/rnr272
ISSN: 1073-7928
Pages: 761 - 826
Type of Material: Journal Article
Journal/Proceeding Title: INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Version: Author's manuscript



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