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Abstract:
The stability problem for the magnetohydrodynamic equations with partial or no dissipation has evoked a considerable interest in recent years. In this paper, we establish the stability near magnetic hydrostatic equilibrium to the three-dimensional magnetic Benard fluid equations with the mixed partial dissipation involving viscosity, resistivity and heat conduction. Moreover, we obtain the large-time behavior of the corresponding linearized system. Our result mathematically verifies the stabilization of a background magnetic field on the three-dimensional magnetic Benard fluid.
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Source :
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN: 0035-7596
Year: 2023
Issue: 3
Volume: 53
Page: 983-1000
0 . 7
JCR@2023
0 . 7 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
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30 Days PV: 0
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