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author:

Zhang, Yajie (Zhang, Yajie.) [1] | Wang, Weiwei (Wang, Weiwei.) [2] (Scholars:王伟伟)

Indexed by:

Scopus SCIE

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 O= T x R. In particular, we takes advantage of the geometry of the domain T x R to divide u into zeroth mode and the nonzero modes, and obey a strong version of the Poincare'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.

Keyword:

large-time behavior Magneto-micropolar fluids partial dissipation stability

Community:

  • [ 1 ] [Zhang, Yajie]Fuzhou Univ, Coll Math & Stat, Fuzhou, Peoples R China
  • [ 2 ] [Wang, Weiwei]Fuzhou Univ, Coll Math & Stat, Fuzhou, Peoples R China
  • [ 3 ] [Zhang, Yajie]Ctr Appl Math Fujian Prov, Fuzhou, Peoples R China
  • [ 4 ] [Wang, Weiwei]Ctr Appl Math Fujian Prov, Fuzhou, Peoples R China
  • [ 5 ] [Zhang, Yajie]Fujian Univ, Key Lab Operat Res & Cybernet, Fuzhou, Peoples R China
  • [ 6 ] [Wang, Weiwei]Fujian Univ, Key Lab Operat Res & Cybernet, Fuzhou, Peoples R China

Reprint 's Address:

  • [Zhang, Yajie]Fuzhou Univ, Coll Math & Stat, Fuzhou, Peoples R China;;[Zhang, Yajie]Ctr Appl Math Fujian Prov, Fuzhou, Peoples R China;;[Zhang, Yajie]Fujian Univ, Key Lab Operat Res & Cybernet, Fuzhou, Peoples R China;;

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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 Discipline: MATHEMATICS;

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

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