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author:

Chen, Yuping (Chen, Yuping.) [1] | Wang, Weiwei (Wang, Weiwei.) [2] (Scholars:王伟伟) | Zhao, Youyi (Zhao, Youyi.) [3]

Indexed by:

Scopus SCIE

Abstract:

It is well known that there exists a threshold kappa(c) such that the linearized stratified viscoelastic Rayleigh-Taylor problem is unstable for the elasticity coefficient kappa satisfying kappa < kappa(c). In this paper, we further prove that if kappa < kappa(c), then there exists an unstable solution to the linearized stratified viscoelastic Rayleigh-Taylor problem with a largest growth rate. Moreover, the largest growth rate decreases from a positive constant to 0 as kappa increases from 0 to kappa(c). In addition, we further extend the obtained results in the linearized stratified viscoelastic Rayleigh-Taylor problem to the linearized stratified magnetic Rayleigh-Taylor problem.

Keyword:

Rayleigh-Taylor instability Stratified magnetohydrodynamic fluids Stratified viscoelastic fluids

Community:

  • [ 1 ] [Chen, Yuping]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China
  • [ 2 ] [Wang, Weiwei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China
  • [ 3 ] [Zhao, Youyi]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China
  • [ 4 ] [Wang, Weiwei]Univ Fujian, Key Lab Operat Res & Control, Fuzhou, Fujian, Peoples R China

Reprint 's Address:

  • 王伟伟

    [Wang, Weiwei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China;;[Wang, Weiwei]Univ Fujian, Key Lab Operat Res & Control, Fuzhou, Fujian, Peoples R China

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Source :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

Year: 2018

1 . 1 3 6

JCR@2018

1 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:68

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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