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

Jiang Xu, Jun Xiong, Shuichi Kawashima

研究成果: Article

8 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)1422-1447
ページ数26
ジャーナルSIAM Journal on Mathematical Analysis
45
発行部数3
DOI
出版物ステータスPublished - 2013 10 4
外部発表Yes

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

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

これを引用

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

:: SIAM Journal on Mathematical Analysis, 巻 45, 番号 3, 04.10.2013, p. 1422-1447.

研究成果: Article

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