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.
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页码:417 / 434
页数:18
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[1]
AMROUCHE C, 1994, CZECH MATH J, V44, P109
[2]
[Anonymous], 1994, Z ANAL ANWENDUNGEN, DOI DOI 10.4171/ZAA/516