Localization of the vorticity direction conditions for the 3D shear thickening fluids
Bull. Korean Math. Soc. 2020 Vol. 57, No. 6, 1481-1490
Published online September 2, 2020
Printed November 30, 2020
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
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