Ziang Jiao, L. Miguel Rodrigues, Changzhen Sun, Zhao Yang
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Small-Amplitude Finite-Depth Stokes Waves are Transversally Unstable
We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations.
期刊介绍:
The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.