Regularity in Sobolev spaces of steady flows of fluids with shear‐dependent viscosity

The system is considered on a bounded three‐dimensional domain under no‐stick boundary value conditions, where S has p‐structure for some p<2 and D ( u ) is the symmetrized gradient of u . Various regularity results for the velocity u and the pressure π in fractional order Sobolev and Nikolskii spaces are obtained. Copyright © 2006 John Wiley & Sons, Ltd.