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

Jishan Fan; Song Jiang; Gen Nakamura; Yong Zhou

doi:10.1007/s00021-010-0039-5

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

Journal article

Peer reviewed

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

Jishan Fan, Song Jiang, Gen Nakamura and Yong Zhou

Journal of mathematical fluid mechanics, Vol.13(4), pp.557-571

01/12/2011

DOI: https://doi.org/10.1007/s00021-010-0039-5

Abstract

Mathematics

Mathematics, Applied

Mechanics

Physical Sciences

Physics

Physics, Fluids & Plasmas

Science & Technology

Technology

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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Title: Logarithmically Improved Regularity Criteria for the Navier-Stokes and MHD Equations
Creators - without role: Jishan Fan - Nanjing Forestry University
Song Jiang - Institute of Applied Physics and Computational Mathematics
Gen Nakamura - Hokkaido University
Yong Zhou - Zhejiang Normal University
Publication Details: Journal of mathematical fluid mechanics, Vol.13(4), pp.557-571
Publisher: Springer Nature
Number of pages: 15
Grant note: 2005CB321700 / National Basic Research Program; National Basic Research Program of China T200905 / Zhejiang Innovation Project R6090109 / ZJNSF; Natural Science Foundation of Zhejiang Province 40890154; 10971197 / NSFC; National Natural Science Foundation of China (NSFC)
Identifiers: 9938861308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article