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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.
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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:
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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