A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations

A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations

Year:    2017

Author:    Hui Zhang

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 1 : pp. 76–83

Abstract

In this paper,we study the regularity of weak solutions to the 3D Micropolar-fluid equations. We show that the weak solutions actually is strong solution if the corresponding vorticity field $j=\nabla\times u$ satisfies certain condition in the high vorticity region.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v30.n1.6

Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 1 : pp. 76–83

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Microplar-fluid equations

Author Details

Hui Zhang