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Logarithmically improved regularity criteria for Navier–Stokes and related equations
Author(s) -
Fan Jishan,
Ozawa Tohru
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1140
Subject(s) - mathematics , navier–stokes equations , besov space , maxwell's equations , interpolation (computer graphics) , heat flow , flow (mathematics) , mathematical analysis , harmonic map , mathematical physics , interpolation space , thermal , classical mechanics , geometry , physics , mechanics , thermodynamics , biochemistry , motion (physics) , chemistry , functional analysis , compressibility , gene
We use an interpolation inequality on Besov spaces to show some logarithmically improved regularity criteria for Navier–Stokes equations, the harmonic heat flow, the Landau–Lifshitz equations, and the Landau–Lifshitz–Maxwell system. Copyright © 2009 John Wiley & Sons, Ltd.