Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations

Jishan Fan, Yasuhide Fukumoto, Yong Zhou

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

In this paper, logarithmically improved regularity criteria for the generalized Navier-Stokes equations are established in terms of the velocity, vorticity and pressure, respectively. Here BMO, the Triebel-Lizorkin and Besov spaces are used, which extend usual Sobolev spaces much. Similar results for the quasi-geostrophic flows and the generalized MHD equations are also listed.

Original languageEnglish
Pages (from-to)545-556
Number of pages12
JournalKinetic and Related Models
Volume6
Issue number3
DOIs
Publication statusPublished - Aug 6 2013

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Regularity Criterion
Sobolev spaces
Magnetohydrodynamics
Vorticity
Navier-Stokes
Generalized Equation
Navier Stokes equations
MHD Equations
Triebel-Lizorkin Space
Besov Spaces
Sobolev Spaces
Navier-Stokes Equations

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation

Cite this

Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations. / Fan, Jishan; Fukumoto, Yasuhide; Zhou, Yong.

In: Kinetic and Related Models, Vol. 6, No. 3, 06.08.2013, p. 545-556.

Research output: Contribution to journalArticle

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