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

Alexandru D. Ionescu; Benoit Pausader

doi:10.1093/imrn/rnr272

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

Alexandru D. Ionescu
, Benoit Pausader

Mathematics

Research output: Contribution to journal › Article › peer-review

81 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 language	English (US)
Pages (from-to)	761-826
Number of pages	66
Journal	International Mathematics Research Notices
Volume	2013
Issue number	4
DOIs	https://doi.org/10.1093/imrn/rnr272
State	Published - Jan 1 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnr272

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title = "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 6.",

author = "Ionescu, \{Alexandru D.\} and Benoit Pausader",

note = "Funding Information: The first author was partially supported by a Packard Fellowship and NSF grant DMS-1065710. Funding Information: The second author was partially supported by NSF grant DMS-1142293.",

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doi = "10.1093/imrn/rnr272",

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T2 - Global stability of the constant equilibrium solution

AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

N1 - Funding Information: The first author was partially supported by a Packard Fellowship and NSF grant DMS-1065710. Funding Information: The second author was partially supported by NSF grant DMS-1142293.

PY - 2013/1/1

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N2 - 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.

AB - 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.

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DO - 10.1093/imrn/rnr272

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JO - International Mathematics Research Notices

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

Abstract

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