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Volume 30, Issue 1
A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations

Hui Zhang

DOI: 10.4208/jpde.v30.n1.6

J. Part. Diff. Eq., 30 (2017), pp. 76-83.

Published online: 2017-03

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  • 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.

  • Keywords

Microplar-fluid equations regularity conditions weak solutions

  • AMS Subject Headings

35Q35, 76C99

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhangaqtc@126.com (Hui Zhang)

  • BibTex
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  • TXT
@Article{JPDE-30-76, author = {Zhang , Hui}, title = {A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations}, journal = {Journal of Partial Differential Equations}, year = {2017}, volume = {30}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v30.n1.6}, url = {http://global-sci.org/intro/article_detail/jpde/5072.html} }
TY - JOUR T1 - A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations AU - Zhang , Hui JO - Journal of Partial Differential Equations VL - 1 SP - 76 EP - 83 PY - 2017 DA - 2017/03 SN - 30 DO - http://doi.org/10.4208/jpde.v30.n1.6 UR - https://global-sci.org/intro/article_detail/jpde/5072.html KW - Microplar-fluid equations KW - regularity conditions KW - weak solutions AB -

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.

Zhang , Hui. (2017). A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations. Journal of Partial Differential Equations. 30 (1). 76-83. doi:10.4208/jpde.v30.n1.6
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