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oaioai:doaj.org/article:825bcaea6bde4a2e9d192a55c40e380b

A New Pressure Regularity Criterion of the Three-Dimensional Micropolar Fluid Equations

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Publication date
1 January 2013
Publisher
'Hindawi Limited'
Doi

    Abstract

    This paper concerns the regularity criterion of the weak solutions to the three-dimensional (3D) micropolar fluid equations in terms of the pressure. It is proved that if one of the partial derivatives of pressure satisfies ∂3π∈Lp(0,T;Lq(R3)) with 2/p+3/q≤2,3<q<∞,1<p<∞, then the weak solution of the micropolar fluid equations becomes regular on (0,T]

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