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

Authors

  • Hui Zhang School of Mathematical Science, Anqing Teacher’s College, AnQing, Hunan 246011, P. R. China

DOI:

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

Keywords:

Microplar-fluid equations;regularity conditions;weak solutions

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.

Published

2018-08-16

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How to Cite

A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations. (2018). Journal of Partial Differential Equations, 30(1), 76-83. https://doi.org/10.4208/jpde.v30.n1.6

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