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author:

Zhang, Yajie (Zhang, Yajie.) [1] | Wang, Jialiang (Wang, Jialiang.) [2] | Jiang, Han (Jiang, Han.) [3]

Indexed by:

Scopus SCIE

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.

Keyword:

magnetic Benard fluid partial dissipation stability

Community:

  • [ 1 ] [Zhang, Yajie]Fuzhou Univ, Coll Math & Stat, Ctr Appl Math Fujian Prov, Fuzhou, Peoples R China
  • [ 2 ] [Wang, Jialiang]Fuzhou Univ, Coll Math & Stat, Ctr Appl Math Fujian Prov, Fuzhou, Peoples R China
  • [ 3 ] [Jiang, Han]Fuzhou Univ, Coll Math & Stat, Ctr Appl Math Fujian Prov, Fuzhou, Peoples R 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 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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