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.

Publication:

COMMUNICATIONS IN MATHEMATICAL PHYSICS

http://dx.doi.org/10.1007/s00220-025-05428-w

Author:

Zhao Yang

State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, ChineseAcademy of Sciences, Beijing 100190, China.

E-mail: yangzhao@amss.ac.cn