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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.
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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 HC Threshold:13
JCR Journal Grade:2
CAS Journal Grade:4
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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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