STEADY FLOW OF FLUIDS WITH SHEAR-DEPENDENT VISCOSITY UNDER MIXED BOUNDARY VALUE CONDITIONS IN POLYHEDRAL DOMAINS
Carsten Ebmeyer · Mathematical Models and Methods in Applied Sciences · 2000
In this paper the system of partial differential equations [Formula: see text] is studied, where e is the symmetrized gradient of u, and T has p-structure for some p<2 (e.g. div T is the p-Laplacian and p<2). Mixed boundary value conditions on a three-dimensional polyhedral domain are considered. W s,p -regularity (s=3/2-ε) of the velocity u and W r,p′ -regularity of the pressure π are proven.