Global well-posedness and large-time decay for the 2D micropolar equations

BQ Dong, J Li, J Wu - Journal of Differential Equations, 2017 - Elsevier
This paper studies the global (in time) regularity and large time behavior of solutions to the
2D micropolar equations with only angular viscosity dissipation. Micropolar equations model …

[PDF][PDF] Global regularity of the 2D micropolar fluid flows with zero angular viscosity

BQ Dong, Z Zhang - J. Differential equations, 2010 - academia.edu
In this paper, we consider the Cauchy problem to the viscous incompressible micropolar
fluid flows, which can be viewed as a non-Newtonian fluid model with asymmetric stress …

Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity

K Yamazaki - Discrete and Continuous Dynamical Systems, 2014 - aimsciences.org
Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular
viscosity AIMS share this content in Facebook share this content in Twitter share this content …

Global regularity for 2D fractional magneto-micropolar equations

H Shang, J Wu - Mathematische Zeitschrift, 2021 - Springer
The magneto-micropolar equations are important models in fluid mechanics and material
sciences. This paper focuses on the global regularity problem on the 2D magneto …

[PDF][PDF] Global regularity for the 2D micropolar equations with fractional dissipation

B Dong, J Wu, X Xu, Z Ye - Discrete Contin. Dyn. Syst, 2018 - math.okstate.edu
Micropolar equations, modeling micropolar fluid flows, consist of coupled equations obeyed
by the evolution of the velocity u and that of the microrotation w. This paper focuses on the …

Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion

H Shang, J Zhao - Nonlinear Analysis: Theory, Methods & Applications, 2017 - Elsevier
This paper studies the global regularity of classical solutions to 2D magneto-micropolar fluid
equations with only micro-rotational velocity dissipation and magnetic diffusion. Here the …

Large time decay of solutions for the 3D magneto-micropolar equations

M Li, H Shang - Nonlinear Analysis: Real World Applications, 2018 - Elsevier
This paper studies the global regularity and decay estimates of solutions to the three-
dimensional (3D) magneto-micropolar equations. We establish three main results. The first …

Global well-posedness of the 2D incompressible micropolar fluid flows with partial viscosity and angular viscosity

C Mingtao - Acta Mathematica Scientia, 2013 - Elsevier
Global Well-Posedness of the 2D Incompressible Micropolar Fluid Flows with Partial Viscosity
and Angular Viscosity Page 1 Acta Mathematica Scientia 2013,33B(4):929–935 …

[HTML][HTML] Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity

J Cheng, Y Liu - Computers & Mathematics with Applications, 2015 - Elsevier
In this paper, we study the Cauchy problem for the 2D anisotropic magneto-micropolar fluid
flows with mixed partial viscosity. We established the global regularity of the 2D anisotropic …

Pressure regularity criteria of the three‐dimensional micropolar fluid flows

BQ Dong, Y Jia, ZM Chen - Mathematical Methods in the …, 2011 - Wiley Online Library
In the study of the regularity criteria of weak solutions of the three‐dimensional (3D)
micropolar fluid flows, the regularity of solutions are examined by imposing some critical …