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Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity
被引:2
|作者:
Ebmeyer, Carsten
Urbano, Jose Miguel
机构:
[1] Univ Bonn, Math Seminar, D-53115 Bonn, Germany
[2] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal
关键词:
D O I:
10.1017/S0956792507006948
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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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