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

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 fi...

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Bibliographic Details
Main Author: Ebmeyer, Carsten (author)
Other Authors: Urbano, José Miguel (author)
Format: other
Language:eng
Published: 2006
Subjects:
Online Access:http://hdl.handle.net/10316/11346
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11346
Description
Summary: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.