Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity

Kazuo Yamazaki

doi:10.3934/dcds.2015.35.2193

Article Contents

2015, Volume 35, Issue 5: 2193-2207. Doi: 10.3934/dcds.2015.35.2193

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Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity

Kazuo Yamazaki^1,

1.
Department of Mathematics, Washington State University, Pullman, WA 99164-3113

Received: December 31, 2013

Revised: September 30, 2014

Published: May 2017

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Abstract

We study the two-dimensional magneto-micropolar fluid system. Making use of the structure of the system, we show that with zero angular viscosity the solution triple remains smooth for all time.

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Mathematics Subject Classification: Primary: 35B65, 35Q35; Secondary: 35Q86.

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