A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure |
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Authors: | Sadek Gala |
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Institution: | 1. Department of Mathematics, University of Mostaganem, , Mostaganem, 27000 Algeria;2. Department of Mathematics, College of Science, Jazan University, , Jazan, KSA |
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Abstract: | In this paper, we study the regularity criterion of weak solutions of the three dimensional micropolar fluid flows. It is proved that if the pressure satisfies where denotes the critical Besov space, then the weak solution (u,w) becomes a regular solution on (0,T]. This regularity criterion can be regarded as log in time improvements of the standard Serrin's criteria established before. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | Micropolar fluid equations regularity Besov spaces |
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