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Global regularity of a class of p-fluid flows in cylinders

2007; Elsevier BV; Volume: 341; Issue: 1 Linguagem: Inglês

10.1016/j.jmaa.2007.10.034

ISSN

1096-0813

Autores

Francesca Crispo,

Tópico(s)

Nonlinear Partial Differential Equations

Resumo

We consider the motion of an incompressible non-Newtonian fluid with shear dependent viscosity. We extend and improve the results obtained in the recent paper by Crispo [F. Crispo, Shear thinning viscous fluids in cylindrical domains. Regularity up to the boundary, J. Math. Fluid Mech., in press], concerning the case of the motion between two coaxial cylinders, to the case of a full cylinder. Actually we prove boundary regularity for solutions to the stationary Dirichlet problem with zero boundary data.

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