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 fixed-point theorem, compactness arguments, and DiPerna?Lions renormalized solutions. [ABSTRACT FROM AUTHOR]