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- Title
Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity.
- Authors
CARSTEN EBMEYER; JOS? MIGUEL URBANO
- 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.
- Subjects
STOKES flow; VISCOUS flow; VISCOSITY; FLUID dynamics; BOUNDARY value problems; FIXED point theory
- Publication
European Journal of Applied Mathematics, 2007, Vol 18, Issue 4, p417
- ISSN
0956-7925
- Publication type
Article
- DOI
10.1017/S0956792507006948