✦ LIBER ✦

On the regularity criterion for three-dimensional micropolar fluid flows in Besov spaces

✍ Scribed by Bo-Qing Dong; Wenliang Zhang

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 294 KB
Volume: 73
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.06.029

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✦ Synopsis

This paper studies the regularity criterion of weak solutions for three-dimensional (3D) micropolar fluid flows. When the velocity field satisfies u ∈ L 2 1+r (0, T ; B r ∞,∞ (R 3 )) for -1 < r < 1, then the weak solution (u, w) is regular on (0, T ]. The methods are mainly based on the Fourier localization technique and Bony's para-product decomposition.

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