Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2020; 57(6): 1481-1490

Online first article September 2, 2020      Printed November 30, 2020

https://doi.org/10.4134/BKMS.b200007

Copyright © The Korean Mathematical Society.

Localization of the vorticity direction conditions for the 3D shear thickening fluids

Jiaqi Yang

Northwestern Polytechnical University

Abstract

It is obtained that a localization of the vorticity direction coherence conditions for the regularity of the 3D shear thickening fluids to an arbitrarily small space-time cylinder. It implies the regularity of any geometrically constrained weak solution of the system considered independently of the type of the spatial domain or the boundary conditions.

Keywords: Localization, direction of the vorticity, non-Newtonian fluid

MSC numbers: Primary 35Q30, 76A05

Supported by: This work was financially supported by the Fundamental Research Funds for the Central Universities under grant: G2020KY05205