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Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity

Published online by Cambridge University Press:  01 August 2007

CARSTEN EBMEYER  and
JOSÉ MIGUEL URBANO
CARSTEN EBMEYER
Affiliation:
Mathematisches Seminar, Universität Bonn, Nussallee 15, D-53115 Bonn, Germany
JOSÉ MIGUEL URBANO
Affiliation:
Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal email: jmurb@mat.uc.pt
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Abstract

The quasi-steady power-law Stokes flow of a mixture of incompressible fluids with shear-dependent viscosity is studied. The fluids are immiscible and have constant densities. Existence results are presented for both the no-slip and the no-stick boundary value conditions. Use is made of Schauder's fixed-point theorem, compactness arguments, and DiPerna–Lions renormalized solutions.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 18 , Issue 4 , August 2007 , pp. 417 - 434
Copyright
Copyright © Cambridge University Press 2007

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