We consider a stationary Navier Stokes system with shear dependent viscosity, under Dirichlet boundary conditions. We prove Holder continuity, up to the boundary, for the gradient of the velocity field together with the L-2-summability of the weak second derivatives. The results hold under suitable smallness assumptions on the force term and without any restriction on the range of p is an element of (1, 2).
On the existence, uniqueness and C^{1,\gamma}(\overline \Omega)\cap W^{2,2}(\Omega) regularity for a class of shear-thinning fluids
GRISANTI, CARLO ROMANO
2008-01-01
Abstract
We consider a stationary Navier Stokes system with shear dependent viscosity, under Dirichlet boundary conditions. We prove Holder continuity, up to the boundary, for the gradient of the velocity field together with the L-2-summability of the weak second derivatives. The results hold under suitable smallness assumptions on the force term and without any restriction on the range of p is an element of (1, 2).File in questo prodotto:
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