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Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations

✍ Scribed by Yinxia Wang

Book ID
120736089
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
197 KB
Volume
2013
Category
Article
ISSN
1687-2762

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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

Existence theorem and blow-up criterion
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✍ Jia Yuan πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 161 KB πŸ‘ 1 views

## 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