LOCALIZATION OF THE VORTICITY DIRECTION CONDITIONS FOR THE 3D SHEAR THICKENING FLUIDS

摘要

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.