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A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations

✍ Scribed by Yu-Zhu Wang; Hecai Yuan

Book ID
113824098
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
236 KB
Volume
13
Category
Article
ISSN
1468-1218

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πŸ“œ SIMILAR VOLUMES

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Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations
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## Abstract In this paper we study the magneto‐micropolar fluid equations in ℝ^3^, prove the existence of the strong solution with initial data in __H__^__s__^(ℝ^3^) for $s>{3\over2}$, and set up its blow‐up criterion. The tool we mainly use is Littlewood–Paley decomposition, by which we obtain a B

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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