A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations
DOI:
https://doi.org/10.4208/jpde.v30.n1.6Keywords:
Microplar-fluid equations;regularity conditions;weak solutionsAbstract
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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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