Localization of the Vorticity Direction Conditions for the 3D Shear Thickening Fluids
Bull. Korean Math. Soc.
Published online September 2, 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 : 35Q30; 76A05
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