论文标题
关于在2D水波中雷利 - 泰勒不稳定性的过渡
On the transition of the Rayleigh-Taylor instability in 2d water waves
论文作者
论文摘要
在本文中，我们证明了具有改变标志的泰勒符号系数的水波，也就是说，强烈的泰勒符号最初成立，而后来又崩溃了，反之亦然。这种现象可以被视为水波的瑞利 - 泰勒河畔稳定和不稳定政权之间的过渡。作为副产品，我们证明了Gevrey-2空间中2D水波的急剧良好的良好性。
In this paper we prove the existence of water waves with sign-changing Taylor sign coefficients, that is, the strong Taylor sign holds initially, while breaks down at a later time, and vice versa. 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 sharp wellposedness of 2d water waves in Gevrey-2 spaces.
