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A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure

✍ Scribed by Sadek Gala

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
151 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 P B 1 1,1 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

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