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Logarithmically improved regularity criteria for Navier–Stokes and related equations
Authors:Jishan Fan  Tohru Ozawa
Affiliation:1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China;2. Department of Applied Physics, Waseda University, Tokyo 169‐8555, Japan
Abstract: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.
Keywords:interpolation inequality  Navier–  Stokes equations  harmonic heat flow  Landau–  Lifshitz system  Landau–  Lifshitz–  Maxwell system
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