Strong solutions of magneto-micropolar fluid equation

Pages: 439 - 448, Issue Special, July 2003

 Abstract        Full Text (196.1K)              

Hiroshi Inoue - Ashikaga Institute of Technology, 268-1 Omae Ashikaga, Tochigi, 326-8558, Japan (email)
Kei Matsuura - Advanced Research Institute for Science and Engineering, Waseda University, Tokyo, 169-8555, Japan (email)
Mitsuharu Ôtani - Department of Applied Physics, Waseda University, 3-4-1, Okubo, Tokyo, 169-8555, Japan (email)

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.

Received: September 2002; Published: April 2003.