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Large time existence of strong solutions to micropolar equations in cylindrical domains

✍ Scribed by Bernard Nowakowski

Book ID
119334060
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
356 KB
Volume
14
Category
Article
ISSN
1468-1218

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πŸ“œ SIMILAR VOLUMES

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

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## 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