Department of Mathematics
University of North Georgia
3820 Mundy Mill Rd
Oakwood, GA 30566, USA
email: dipendra.regmi@ung.edu
Dipendra Regmi
Abstract:
This article addresses the global regularity (in time) issue of two
dimensional incompressible micropolar equations with various partial
dissipations. Micropolar fluids represent a class of fluids with
nonsymmetric stress tensor (called polar fluids) such as fluids consisting
of suspending particles, dumbbell molecules, etc. Whether or not its
classical solutions of 2D micropolar equations without velocity dissipation
and micro-rotational viscosity develop finite time singularities is a
difficult problem, and remains open. Here, we mainly focus on two types
of partial dissipation cases, and we prove the conditional global regularity.
Published November 15, 2017.
Math Subject Classifications: 35Q35, 35B35, 35B65, 76D03.
Key Words: Global regularity; micro-polar equations; partial dissipation.
Show me the PDF file (199 K), TEX file for this article.
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Dipendra Regmi Department of Mathematics University of North Georgia 3820 Mundy Mill Rd Oakwood, GA 30566, USA email: dipendra.regmi@ung.edu |
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