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 loca
On regularity criteria for the three-dimensional micropolar fluid equations in the critical Morrey–Campanato space
✍ Scribed by Sadek Gala
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 228 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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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 criter
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