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Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity
Published online by Cambridge University Press: 01 August 2007
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.
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