Artículos de revistas
Steady flow for shear thickening fluids with arbitrary fluxes
Registro en:
Journal Of Differential Equations. Academic Press Inc Elsevier Science, v. 252, n. 6, n. 3873, n. 3898, 2012.
0022-0396
WOS:000299799500006
10.1016/j.jde.2011.11.025
Autor
Dias, GJ
Santos, MM
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) We solve the stationary Navier-Stokes equations for non-Newtonian incompressible fluids with shear dependent viscosity in domains with unbounded outlets, in the case of shear thickening viscosity, i.e. the viscosity is given by the shear rate raised to the power p - 2 where p > 2. The flux assumes arbitrary given values and the Dirichlet integral of the velocity field grows at most linearly in the outlets of the domain. Under some smallness conditions on the "energy dispersion" we also show that the solution of this problem is unique. Our results are an extension of those obtained by O.A. Ladyzhenskaya and V.A. Solonnikov [O.A. Ladyzhenskaya, V.A. Solonnikov, Determination of the solutions of boundary value problems for steady-state Stokes and Navier-Stokes equations in domains having an unbounded Dirichlet integral, J. Soviet Math. 21 (1983) 728-761] for Newtonian fluids (p = 2). (C) 2011 Elsevier Inc. All rights reserved. 252 6 3873 3898 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq [307192/2007-5]