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Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

✍ Scribed by Jia Yuan

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
161 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 Beale–Kato–Majda‐type blow‐up criterion for smooth solution (u, ω, b) that relies on the vorticity of velocity ∇ × u only. Copyright © 2007 John Wiley & Sons, Ltd.

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