Global regularity of 3D magneto-micropolar fluid equations

Wang, Yinxia; Gu, Liuxin

doi:10.1016/j.aml.2019.07.011

Cited by 10 publications

(5 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…□ Remark 2.1. It should be added that at the time the paper was accepted, the authors learnt that Y. Wang and L. Gu [7] have also obtained a similar result for the three dimensional magneto-micropolar fluid equations for a family of large initial data with finite energy.…”

Section: Proof Of Theorem 11mentioning

confidence: 83%

Global regularity for the 3D micropolar fluid flows

Alghamdi

Gala

Ragusa

2022

Filomat

View full text Add to dashboard Cite

show abstract

Section: Proof Of Theorem 11mentioning

confidence: 83%

Global regularity for the 3D micropolar fluid flows

Alghamdi

Gala

Ragusa

2022

Filomat

View full text Add to dashboard Cite

show abstract

“…Further results related to the current paper are in [2,21]. The papers [14] and [18] (see also [3,8,12,13,15,17,19,20,22,23,24,28,29]), raised our interest to obtain regularity criteria for weak solutions of the magnetomicropolar system (1), which involve only one component of the velocity field u.…”

mentioning

confidence: 93%

“…, for all s ≤ t. In the inequality above the definitions of I(t) and J(t) were applied (see (16) and (17)). It follows, by using (17), that…”

mentioning

confidence: 99%

Regularity criteria for weak solutions of the Magneto-micropolar equations

Lorenz¹,

Melo²,

Souza³

2021

era

View full text Add to dashboard Cite

show abstract

“…Fan and Zhong [10] showed the local existence and uniqueness of smooth solutions and provided some regularity criteria for the 3D generalised system. Wang and Gu [42] proved the global existence of smooth solutions to a 3D problem.…”

Section: Introductionmentioning

confidence: 99%

Stability for a system of the 2D incompressible magneto-micropolar fluid equations with partial mixed dissipation

Lin,

Liu,

Zhang

et al. 2024

Nonlinearity

View full text Add to dashboard Cite

This paper focuses on the 2D incompressible anisotropic magneto-micropolar fluid equations with vertical dissipation, horizontal magnetic diffusion, and horizontal vortex viscosity. The goal is to investigate the stability of perturbations near a background magnetic field in the 2D magneto-micropolar fluid equations. Two main results are obtained. The first result is based on the linear system. Global existence for any large initial data and asymptotic linear stability are established. The second result explores stability for the nonlinear system. It is proven that if the initial data are sufficiently small, then the solution for some perturbations near a background magnetic field remains small. Additionally, the long-time behaviour of the solution is presented. The most challenging terms in the proof are the linear terms in the velocity equation and the micro-rotation equation that will grow with respect to time t. We are able to find some background fields to control the growth of the linear terms. Our results reveal that some background fields can stabilise electrically conducting fluids.

show abstract

Global regularity of 3D magneto-micropolar fluid equations

Cited by 10 publications

References 18 publications

Global regularity for the 3D micropolar fluid flows

Global regularity for the 3D micropolar fluid flows

Regularity criteria for weak solutions of the Magneto-micropolar equations

Stability for a system of the 2D incompressible magneto-micropolar fluid equations with partial mixed dissipation

Contact Info

Product

Resources

About