Large deviation principle for the micropolar, magneto-micropolar fluid systems

Kazuo Yamazaki

doi:10.3934/dcdsb.2018048

Article Contents

2018, Volume 23, Issue 2: 913-938. Doi: 10.3934/dcdsb.2018048

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Large deviation principle for the micropolar, magneto-micropolar fluid systems

Kazuo Yamazaki

Department of Mathematics, University of Rochester, Rochester, NY, 14627, USA

Received: December 31, 2016

Revised: July 31, 2017

Early access: November 2017

Published: June 2018

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Abstract

Micropolar fluid and magneto-micropolar fluid systems are systems of equations with distinctive feature in its applicability and also mathematical difficulty. The purpose of this work is to follow the approach of [8] and show that another general class of systems of equations, that includes the two-dimensional micropolar and magneto-micropolar fluid systems, is well-posed and satisfies the Laplace principle, and consequently the large deviation principle, with the same rate function.

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Mathematics Subject Classification: Primary: 35Q35, 37L55; Secondary: 60F10.

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