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报告题目：Mathematical Proof of Effect of Surface Tension on the Linear Rayleigh--Taylor Instability

报  告  人：江飞  教授(福州大学)

报告时间：2018年11月27日（星期二）上午11:10-11:50              

报告地点：4号楼318室

邀  请  人：温焕尧  教授

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数学学院

2018年11月26日

报告摘要：

In classical Rayleigh--Taylor (RT) experiments, it has been shown that the instability growth is limited by surface tension during the linear stage, where the growth is exponential in time. In this paper, we mathematically verify this physical result based on linearized motion equations. More precisely, we prove that the largest growth rate of linear RT instability will go to zero, as the coefficient of surface tension $\kappa$ increases from $0$ to a threshold $\vartheta_{\mm{c}}$.