From vlasov-Poisson system to the incompressible Euler system

Research output: Contribution to journalArticle

Abstract

This paper is devoted to the proof of the convergence of the Vlasov-Poisson system to the incompressible Euler equations in the so-called quasi-neutral regime for cold electrons. The convergence is global in time and for general initial data as long as a strong solution for the Euler system is known to exist. This investigation extends the results of Y. Brenier [1] where the case of "well-prepared" initial data was handled.

Original languageEnglish (US)
Pages (from-to)1913-1928
Number of pages16
JournalCommunications in Partial Differential Equations
Volume26
Issue number9-10
DOIs
StatePublished - 2001

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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