A new upper bound for the largest growth rate of linear Rayleigh–Taylor instability

Abstract We investigate the effect of (interface) surface tensor on the linear Rayleigh–Taylor (RT) instability in stratified incompressible viscous fluids. The existence of linear RT instability solutions with largest growth rate Λ is proved under the instability condition (i.e., the surface tensio...

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Bibliographic Details
Main Authors: Changsheng Dou, Jialiang Wang, Weiwei Wang
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02613-y