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 …

Global well-posedness for the micropolar fluid system in critical Besov spaces

Q Chen, C Miao - Journal of Differential Equations, 2012 - Elsevier
We prove the global well-posedness for the 3-D micropolar fluid system in the critical Besov
spaces by making a suitable transformation of the solutions and using the Fourier …

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] Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations

L Xue - Mathematical methods in the applied sciences, 2011 - math0.bnu.edu.cn
Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations Page
1 Paper 1. Introduction The 2D incompressible micropolar fluid flow in the whole space is …

On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity

L Ma - Nonlinear Analysis: Real World Applications, 2018 - Elsevier
The magneto-micropolar fluid flows describe the motion of electrically conducting micropolar
fluids in the presence of a magnetic field. The issue of whether the two-dimensional …

[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 …

[PDF][PDF] Global regularity for the 2D magneto-micropolar equations with partial dissipation

D Regmi, J Wu - J. Math. Study, 2016 - global-sci.org
This paper studies the global existence and regularity of classical solutions to the 2D
incompressible magneto-micropolar equations with partial dissipation. The magneto …

Decay estimates of solutions to the compressible micropolar fluids system in R3

L Tong, R Pan, Z Tan - Journal of Differential Equations, 2021 - Elsevier
This work is concerned with the compressible micropolar fluids system in three–dimensional
space. We consider the asymptotic behavior of the solution to the Cauchy problem near the …