Strong solutions of magneto-micropolar fluid equation

Hiroshi Inoue; Kei Matsuura; Mitsuharu Ôtani

doi:10.3934/proc.2003.2003.439

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2003, Volume 2003: 439-448. Doi: 10.3934/proc.2003.2003.439 open access

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Strong solutions of magneto-micropolar fluid equation

1.
Ashikaga Institute of Technology, 268-1 Omae Ashikaga, Tochigi, 326-8558
2.
Advanced Research Institute for Science and Engineering, Waseda University, Tokyo, 169-8555
3.
Department of Applied Physics, Waseda University, 3-4-1, Okubo, Tokyo, 169-8555

Received: September 2002

Published: March 2003

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Abstract

We show the existence and uniqueness of a strong solution for the system of magneto-micropolar fluid motions under some assumptions on the regularity of given data similar to those of Fujita-Kato [4]. The method of our proof relies on the abstract nonmonotone perturbation theory developed in ˆ Otani [10].

Keywords:

Magneto-micropolar fluids,
nonmonotone perturbation theory.

Mathematics Subject Classification: Primary: 76W05; Secondary: 35K60, 35K90, 35Q35, 76A05, 76D03.

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