scholarly journals Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure

2016 ◽  
Vol 9 (6) ◽  
pp. 2011-2029 ◽  
Author(s):  
Cheng-Jie Liu ◽  
Ya-Guang Wang ◽  
Tong Yang
Keyword(s):  
Global Existence ◽  
Weak Solutions ◽  
Three Dimensional ◽  
Special Structure ◽  
Existence Of Weak Solutions ◽  
Prandtl Equations

scholarly journals Global existence of weak solutions for Landau-Lifshitz-Maxwell equations

2007 ◽  
Vol 17 (4) ◽  
pp. 867-890 ◽  
Author(s):  
Shijin Ding ◽  
◽  
Boling Guo ◽  
Junyu Lin ◽  
Ming Zeng ◽  
...  
Keyword(s):  
Global Existence ◽  
Weak Solutions ◽  
Maxwell Equations ◽  
Existence Of Weak Solutions

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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