The Uniqueness of the Weak Solutions of the Three-dimensional Infiltration Problem

2009 ◽  
Author(s):  
Fang Ping ◽  
Zhou Yu-Zhong ◽  
Zhang Xin ◽  
Song Rui-Feng
Keyword(s):  
Weak Solutions ◽  
Three Dimensional

Weak solutions for generalized stationary Oldroyd-B fluid with a diffusive stress

2016 ◽  
Vol 23 (4) ◽  
pp. 469-475
Author(s):  
Hafedh Bousbih ◽  
Mohamed Majdoub
Keyword(s):  
Stress Tensor ◽  
Weak Solutions ◽  
Fluid Model ◽  
Three Dimensional ◽  
Shear Thickening ◽  
Bounded Domains ◽  
Two Dimensional ◽  
Existence Of Weak Solutions ◽  
Elastic Part ◽  
Viscosity Function

AbstractThis paper focuses on the analysis of the stationary case of incompressible viscoelastic generalized Oldroyd-B fluids derived in [2] by Bejaoui and Majdoub. The studied model is different from the classical Oldroyd-B fluid model in having a viscosity function which is shear-rate depending, and a diffusive stress added to the equation of the elastic part of the stress tensor. Under some conditions on the viscosity stress tensor and for a large class of models, we prove the existence of weak solutions in both two-dimensional and three-dimensional bounded domains for shear-thickening flows.

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