Existence of global strong solution to the micropolar fluid system in a bounded domain
Existence of global strong solution to the micropolar fluid system in a bounded domain
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DOI：
10.1002/mma.617
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发表时间：
2005-09
影响因子：
2.9
通讯作者：
Norikazu Yamaguchi
中科院分区：
文献类型：
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作者：
Norikazu Yamaguchi
本文研究三维有界域内微极流体系统的初边值问题。研究了线性化方程的预解问题，证明了解析半群的生成及其时间衰减估计。特别地，得到了Lp-Lq型估计。利用半群的Lp-Lq估计，我们证明了小初值时原非线性问题的整体时间解的存在性定理。最后，对磁-微极流体系统进行了研究。版权所有©2005 John Wiley&Sons，Ltd.
In this paper we are concerned with the initial boundary value problem of the micropolar fluid system in a three dimensional bounded domain. We study the resolvent problem of the linearized equations and prove the generation of analytic semigroup and its time decay estimates. In particular, Lp–Lq type estimates are obtained. By use of the Lp–Lq estimates for the semigroup, we prove the existence theorem of global in time solution to the original nonlinear problem for small initial data. Furthermore, we study the magneto‐micropolar fluid system in the final section. Copyright © 2005 John Wiley & Sons, Ltd.