On the regularity criteria of weak solutions to the micropolar fluid equations in Lorentz space

Details On the regularity criteria of weak solutions to the micropolar fluid equations in Lorentz space On the regularity criteria of weak solutions to the micropolar fluid equations in Lorentz space

2009-08-05

arxiv.org/abs/0908.0614v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

In this paper the regularity of weak solutions and the blow-up criteria of smooth solutions to the micropolar fluid equations on three dimension space are studied in the Lorentz space $L^{p,\infty}(\mathbb{R}^3)$. We obtain that if $u\in L^q(0,T;L^{p,\infty}(\mathbb{R}^3))$ for $\frac2q+\frac3p\le 1$ with $3

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