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:Ziang Jiao,Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
E-mail: jiaoziang@amss.ac.cn
L. Miguel Rodrigues,Univ Rennes, CNRS, IRMAR - UMR 6625, Rennes 35000, France.
E-mail: luis-miguel.rodrigues@univrennes1.fr
Changzhen Sun,Université Marie-et-Louis-Pasteur, Laboratoire de Mathématiques de Besançon, UMR CNRS 6623, Besançon25000, France
E-mail: changzhen.sun@cnrs.fr
Zhao Yang,State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
E-mail: yangzhao@amss.ac.cn
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