Diffusive relaxation limit of classical solutions to the damped compressible Euler equations

Jiang Xu, Shuichi Kawashima

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

We construct (uniform) global classical solutions to the damped compressible Euler equations on the framework of general Besov spaces which includes both the usual Sobolev spaces Hs(Rd) (s>1+d/2) and the critical Besov space B2,11+d/2(Rd). Such extension heavily depends on a revision of commutator estimates and an elementary fact that indicates the connection between homogeneous and inhomogeneous Chemin-Lerner spaces. Furthermore, we obtain the diffusive relaxation limit of Euler equations towards the porous medium equation, by means of Aubin-Lions compactness argument.

本文言語英語
ページ(範囲)771-796
ページ数26
ジャーナルJournal of Differential Equations
256
2
DOI
出版ステータス出版済み - 1 15 2014

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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