Boundary Regularity of Shear Thickening Flows |
| |
Authors: | Hugo Beir?o da Veiga Petr Kaplicky Michael R??i?ka |
| |
Institution: | 1. Department of Applied Mathematics ??U. Dini??, Pisa University, Via F. Buonarroti 1, 56127, Pisa, Italy 2. Faculty of Mathematics and Physics, Charles University, Sokolovsk?? 83, 18675, Praha 8, Czech Republic 3. Mathematisches Institut, Universit?t Freiburg, Eskerstr 1, 79104, Freiburg, Germany
|
| |
Abstract: | This article is concerned with the global regularity of weak solutions to systems describing the flow of shear thickening
fluids under the homogeneous Dirichlet boundary condition. The extra stress tensor is given by a power law ansatz with shear
exponent p≥ 2. We show that, if the data of the problem are smooth enough, the solution u of the steady generalized Stokes problem belongs to W1,(np+2-p)/(n-2)(W){W^{1,(np+2-p)/(n-2)}(\Omega)} . We use the method of tangential translations and reconstruct the regularity in the normal direction from the system, together
with anisotropic embedding theorem. Corresponding results for the steady and unsteady generalized Navier–Stokes problem are
also formulated. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|