Existence theorem and blow‐up criterion of the strong solutions to the magneto‐micropolar fluid equations
Existence theorem and blow‐up criterion of the strong solutions to the magneto‐micropolar fluid equations
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DOI：
10.1002/mma.967
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发表时间：
2007-06
影响因子：
2.9
通讯作者：
Jia Yuan
中科院分区：
文献类型：
--
作者：
Jia Yuan
本文研究了一类具有初始数据的磁微极流体方程，证明了Hs(1)中$s>{3\over2}$的强解的存在性，并建立了它的爆破判据。我们主要使用的工具是Littlewood-Paley分解，通过它我们获得了光滑解（u, ω, b）的Beale-Kato-Majda型爆破判据，该判据仅依赖于速度∇× u的涡度。版权所有©2007 John Wiley & Sons， Ltd
In this paper we study the magneto‐micropolar fluid equations in ℝ3, prove the existence of the strong solution with initial data in Hs(ℝ3) 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.