点涡二维水波Rayleigh-Taylor不稳定性的跃迁

IF 2.4 1区数学 Q1 MATHEMATICS Annals of Pde Pub Date : 2023-10-17 DOI:10.1007/s40818-023-00157-6

Qingtang Su

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引用次数: 1

摘要

本文通过考虑具有一对点涡的二维水波，证明了具有变符号Taylor符号系数的水波的存在性。也就是说，强泰勒符号条件最初成立，但后来会崩溃。这种现象可以看作是水波瑞利-泰勒意义上的稳定和不稳定状态之间的转换。作为副产品，我们证明了Gevrey-2空间中二维水波的适定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Transition of the Rayleigh-Taylor Instability in 2d Water Waves with Point Vortices

In this paper, by considering 2d water waves with a pair of point vortices, we prove the existence of water waves with sign-changing Taylor sign coefficients. That is, the strong Taylor sign condition holds initially, while it breaks down at a later time. Such a phenomenon can be regarded as the transition between the stable and unstable regime in the sense of Rayleigh-Taylor of water waves. As a byproduct, we prove the wellposedness of 2d water waves in Gevrey-2 spaces.

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来源期刊

Annals of Pde Mathematics-Geometry and Topology

CiteScore

3.70

自引率

3.60%

发文量