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author:

Liu, Hao (Liu, Hao.) [1]

Indexed by:

SCIE

Abstract:

This paper investigates the stability of two-dimensional (2D) incompressible anisotropic magneto-micropolar equations near hydrostatic equilibrium in a slab domain with Navier-type slip boundary condition. The system is characterized by partial mixed dissipation, including vertical dissipation, horizontal magnetic diffusion, and horizontal vortex viscosity. Based on complex anisotropic analysis, we establish the global stability of the solution. In particular, our results rigorously demonstrate that the magnetic fields enhance dissipation, thereby stabilizing the fluid dynamics. Compared to known results [H.X. Lin, S. Liu, H. Zhang, Q. Sun, Nonlinearity, 37, 2024], our approach does not impose any restrictions on the magnetic diffusion coefficient or the background magnetic field. In addition, we also provide the large-time behavior of the solution.

Keyword:

global stability large-time behavior Magneto-micropolar equations partial mixed dissipation

Community:

  • [ 1 ] [Liu, Hao]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • [Liu, Hao]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China

Email:

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Source :

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN: 1531-3492

Year: 2025

1 . 3 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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