Regularity criteria of weak solutions to the three-dimensional micropolar flows

2009 ◽  
Vol 50 (10) ◽  
pp. 103525 ◽  
Author(s):  
Bo-Qing Dong ◽  
Zhi-Min Chen
Keyword(s):  
Weak Solutions ◽  
Three Dimensional ◽  
Regularity Criteria ◽  
Micropolar Flows

scholarly journals A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
TianLi LI ◽  
Wen Wang ◽  
Lei Liu
Keyword(s):  
Weak Solution ◽  
Weak Solutions ◽  
Besov Spaces ◽  
Pressure Field ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Mhd Equations ◽  
Regularity Criteria ◽  
Magnetohydrodynamic Equations ◽  
Incompressible Magnetohydrodynamic Equations

Regularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u , b is regular on 0 , T , which is provided for the scalar pressure field π in the Besov spaces.

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.

Sign in / Sign up

Export Citation Format

Share Document