Publication at Faculty of Mathematics and Physics |
2010
Abstract
This Note concerns the regularity up to the boundary of weak solutions to systems describing the flow of generalized Newtonian shear thickening fluids under the homogeneous Dirichlet boundary condition. The extra stress tensor is given by a power law with shear exponent p greater or equal to 2.
Complete proofs of the results presented here are given in the forthcoming paper (H. Beirao da Veiga, P.
Kaplický and M. Růžička: Boundary regularity of shear thickening flows, Journal of Mathematical Fluid Mechanics, in press).
The aim of this Note is to describe the results together with suitable comments.