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

Carsten Ebmeyer; José Miguel Urbano

doi:10.1017/S0956792507006948

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

Carsten Ebmeyer, José Miguel Urbano

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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. © 2007 Cambridge University Press.

Original language	English (US)
Pages (from-to)	417-434
Number of pages	18
Journal	European Journal of Applied Mathematics
Volume	18
Issue number	4
DOIs	https://doi.org/10.1017/S0956792507006948
State	Published - Aug 1 2007
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Applied Mathematics

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10.1017/S0956792507006948

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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. {\textcopyright} 2007 Cambridge University Press.",

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N2 - 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. © 2007 Cambridge University Press.

AB - 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. © 2007 Cambridge University Press.

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ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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