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) |
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Pages (from-to) | 417-434 |
Number of pages | 18 |
Journal | European Journal of Applied Mathematics |
Volume | 18 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 2007 |
Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics