4.3 Article

Logarithmically Improved Regularity Criteria for the Navier-Stokes and MHD Equations

Journal

JOURNAL OF MATHEMATICAL FLUID MECHANICS
Volume 13, Issue 4, Pages 557-571

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00021-010-0039-5

Keywords

Navier-Stokes equations; MHD equations; regularity criteria

Funding

  1. National Basic Research Program [2005CB321700]
  2. NSFC [40890154, 10971197]
  3. Zhejiang Innovation Project [T200905]
  4. ZJNSF [R6090109]

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In this paper, logarithmically improved regularity criteria for the Navier-Stokes and the MHD equations are established in terms of both the vorticity field and the pressure.

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