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Existence of global strong solution to the micropolar fluid system in a bounded domain

✍ Scribed by Norikazu Yamaguchi

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
166 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper we are concerned with the initial boundary value problem of the micropolar uid 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, L p -L q type estimates are obtained. By use of the L p -L q 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 uid system in the ÿnal section. Copyright ? 2005 John Wiley & Sons, Ltd.

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