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Open Access Research

A logarithmically improved blow-up criterion for smooth solutions to the micropolar fluid equations in weak multiplier spaces

Juan Zhao

Author Affiliations

School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China

Boundary Value Problems 2013, 2013:122  doi:10.1186/1687-2770-2013-122

Published: 10 May 2013

Abstract

In this paper, we study the initial value problem for the three-dimensional micropolar fluid equations. A new logarithmically improved blow-up criterion for the three-dimensional micropolar fluid equations in a weak multiplier space is established.

MSC: 35K15, 35K45.

Keywords:
micropolar fluid equations; smooth solution; blow-up criterion