Global well-posedness in critical besov spaces for two-fluid euler-maxwell equations

Jiang Xu, Jun Xiong, Shuichi Kawashima

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, we study two-fluid compressible Euler-Maxwell equations in the whole space or periodic space. In comparison with the one-fluid case, we need to deal with the difficulty mainly caused by the nonlinear coupling and cancelation between electrons and ions. Precisely, the expected dissipation rates of densities for two carriers are no longer available. To capture the weaker dissipation, we develop a continuity for compositions, which is a natural generalization from Besov spaces to Chemin-Lerner spaces (space-time Besov spaces). An elementary fact that indicates the relation between homogeneous Chemin-Lerner spaces and inhomogeneous Chemin-Lerner spaces will been also used.

Original languageEnglish
Pages (from-to)1422-1447
Number of pages26
JournalSIAM Journal on Mathematical Analysis
Volume45
Issue number3
DOIs
Publication statusPublished - 2013 Oct 4
Externally publishedYes

Fingerprint

Global Well-posedness
Besov Spaces
Maxwell equations
Maxwell's equations
Euler
Fluid
Fluids
Dissipation
Electrons
Ions
Chemical analysis
Compressible Fluid
Cancellation
Space-time
Electron

Keywords

  • Chemin-Lerner spaces
  • Classical solutions
  • Two-fluid Euler-Maxwell equations

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

Global well-posedness in critical besov spaces for two-fluid euler-maxwell equations. / Xu, Jiang; Xiong, Jun; Kawashima, Shuichi.

In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 3, 04.10.2013, p. 1422-1447.

Research output: Contribution to journalArticle

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