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author:

Zhang, Y. (Zhang, Y..) [1] | Wang, W. (Wang, W..) [2]

Indexed by:

Scopus

Abstract:

The stability and large-time behavior problem on the magneto-micropolar equations has evoked a considerable interest in recent years. In this paper, we study the stability and exponential decay near magnetic hydrostatic equilibrium to the two-dimensional magneto-micropolar equations with partial dissipation in the domain (Formula presented.). In particular, we takes advantage of the geometry of the domain (Formula presented.) to divide u into zeroth mode and the nonzero modes, and obey a strong version of the Poincaré's inequality, which plays a crucial role in controlling the nonlinearity. Moreover, we find that the oscillation part of the solution decays exponentially to zero. Finally, our result mathematically verifies that the stabilization effect of a background magnetic field on magneto-micropolar fluids. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

Keyword:

large-time behavior Magneto-micropolar fluids partial dissipation stability

Community:

  • [ 1 ] [Zhang, Y.]College of Mathematics and Statistics, Fuzhou University, Fuzhou, China
  • [ 2 ] [Zhang, Y.]Center for Applied Mathematics of Fujian Province, Fuzhou, China
  • [ 3 ] [Zhang, Y.]Key Laboratory of Operations Research and Cybernetics of Fujian Universities, Fuzhou, China
  • [ 4 ] [Wang, W.]College of Mathematics and Statistics, Fuzhou University, Fuzhou, China
  • [ 5 ] [Wang, W.]Center for Applied Mathematics of Fujian Province, Fuzhou, China
  • [ 6 ] [Wang, W.]Key Laboratory of Operations Research and Cybernetics of Fujian Universities, Fuzhou, China

Reprint 's Address:

  • [Zhang, Y.]College of Mathematics and Statistics, China

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Source :

Applicable Analysis

ISSN: 0003-6811

Year: 2023

Issue: 2

Volume: 103

Page: 432-444

1 . 1

JCR@2023

1 . 1 0 0

JCR@2023

ESI HC Threshold:13

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

Affiliated Colleges:

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