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author:

Zhang, Y. (Zhang, Y..) [1] | Wang, J. (Wang, J..) [2] | Jiang, H. (Jiang, H..) [3]

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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 Bénard 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 Bénard fluid. © Rocky Mountain Mathematics Consortium.

Keyword:

magnetic Bénard fluid partial dissipation stability

Community:

  • [ 1 ] [Zhang Y.]College of Mathematics and Statistics, Fuzhou University, Center for Applied Mathematics of Fujian Province, Fuzhou, China
  • [ 2 ] [Wang J.]College of Mathematics and Statistics, Fuzhou University, Center for Applied Mathematics of Fujian Province, Fuzhou, China
  • [ 3 ] [Jiang H.]College of Mathematics and Statistics, Fuzhou University, Center for Applied Mathematics of Fujian Province, Fuzhou, China

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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 HC Threshold:13

JCR Journal Grade:2

CAS Journal Grade:4

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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