A new Beale–Kato–Majda criteria for the 3D magneto‐micropolar fluid equations in the Orlicz–Morrey space |
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| Authors: | Sadek Gala Yoshihiro Sawano Hitoshi Tanaka |
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| Institution: | 1. Department of Mathematics, University of Mostaganem, , Mostaganem, 27000 Algeria;2. Department of Mathematics, Kyoto University, , Kyoto, 606‐8502 Japan;3. Department of Mathematical Science, The University of Tokyo, , Tokyo, 153‐8914 Japan |
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| Abstract: | In this work, we are interested in the study of regularity for the three‐dimensional magneto‐micropolar fluid equations in Orlicz–Morrey spaces. If the velocity field satisfies ![urn:x-wiley:1704214:media:mma2535:mma2535-math-0001]( "urn:x-wiley:1704214:media:mma2535:mma2535-math-0001") or the gradient field of velocity satisfies ![urn:x-wiley:1704214:media:mma2535:mma2535-math-0002]( "urn:x-wiley:1704214:media:mma2535:mma2535-math-0002") then we show that the solution remains smooth on 0,T]. In view of the embedding  with 2 < p < 3 ∕ r and P > 1, we see that our result extends the result of Yuan and that of Gala. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | regularity Orlicz– Morrey space magneto‐micropolar fluid |
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