Abstract and Applied Analysis
Volume 4 (1999), Issue 2, Pages 109-125
doi:10.1155/S1085337599000287

Magneto-micropolar fluid motion: global existence of strong solutions

Elva E. Ortega-Torres1 and Marko A. Rojas-Medar2

1Universidad de Antofagasta, Departamento de Matemáticas, Casilla 170, Antofagasta, Chile
2Universidad Estadual de Campinas, Departamento de Matemática Aplicada, C.P. 6065, Campinas 13081-970, SP, Brazil

Received 1 December 1997

Copyright © 1999 Elva E. Ortega-Torres and Marko A. Rojas-Medar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By using the spectral Galerkin method, we prove a result on global existence in time of strong solutions for the motion of magneto-micropolar fluid without assuming that the external forces decay with time. We also derive uniform in time estimates of the solution that are useful for obtaining error bounds for the approximate solutions.