Regularity theorems, up to the boundary, for shear thickening flows
H. Beirão da Veiga, Petr Kaplický, Michael Růžička · Comptes Rendus Mathématique · 2010
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 S ( D ) , see (2) below, is given by a power law with shear exponent p ⩾ 2 . Complete proofs of the results presented here are given in the forthcoming paper [4] (H. Beirão da Veiga et al., in press). The aim of this Note is to describe the results proved in H. Beirão da Veiga et al. (in press) [4], together with suitable comments.