On regularity criteria for the n-dimensional Navier–Stokes equations in terms of the pressure

By Jishan Fan, Song Jiang, Guoxi Ni. 2008

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Abstract We study the Cauchy problem for the n-dimensional Navier–Stokes equations ( n ⩾ 3 ), and prove some regularity criteria involving the integrability of the pressure or the pressure gradient for weak solutions in the Morrey, Besov and multiplier spaces.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/661b5b593421ec32f4c5eb158df2cb66e853e8d7