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.
Jiaqi Yang
Northwestern Polytechnical University
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
2001; 38(4): 719-725
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