Open AccessA Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-fluid Equations
Author(s) -
Hui Zhang Hui Zhang
Publication year - 2017
Publication title -
journal of partial differential equations
Language(s) - English
Resource type - Journals
eISSN - 2079-732X
pISSN - 1000-940X
DOI - 10.4208/jpde.v30.n1.6
Subject(s) - vorticity , vorticity equation , mathematical analysis , mathematics , physics , mechanics , classical mechanics , vortex
In this paper, we study the regularity of weak solutions to the 3D Micropolarfluid equations. We show that the weak solutions actually is strong solution if the corresponding vorticity field j=∇×u satisfies certain condition in the high vorticity region. AMS Subject Classifications: 35Q35, 76C99 Chinese Library Classifications: O175.24
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