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• W2912285238 abstract "We investigate the effect of surface tension on the linear Rayleigh--Taylor (RT) instability in stratified incompressible viscous fluids with or without (interface) surface tension. The existence of linear RT instability solutions with largest growth rate $Lambda$ is proved under the instability condition (i.e., the surface tension coefficient $vartheta$ is less than a threshold $vartheta_{rm c}$) by modified variational method of PDEs. Moreover we find a new upper bound for $Lambda$. In particular, we observe from the upper bound that $Lambda$ decreasingly converges to zero, as $vartheta$ goes from zero to the threshold $vartheta_{rm c}$. The convergence behavior of $Lambda$ mathematically verifies the classical RT instability experiment that the instability growth is limited by surface tension during the linear stage." @default.
• W2912285238 created "2019-02-21" @default.
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• W2912285238 date "2019-01-30" @default.
• W2912285238 modified "2023-09-24" @default.
• W2912285238 title "A New Upper Bound for the Largest Growth Rate of Linear Rayleigh--Taylor Instability" @default.
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• W2912285238 doi "https://doi.org/10.48550/arxiv.1901.11012" @default.
• W2912285238 hasPublicationYear "2019" @default.
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