Nonlinear Modulational Instabililty of the Stokes Waves in 2D Full Water Waves

被引：4
作者：
Chen, Gong [1 ]
Su, Qingtang [2 ]
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 402卷 / 02期
关键词：
FREE-BOUNDARY PROBLEM; FINITE-TIME SPLASH; WELL-POSEDNESS; FREE-SURFACE; GLOBAL-SOLUTIONS; NLS APPROXIMATION; SOBOLEV SPACES; JUSTIFICATION; EQUATION; MOTION;
D O I：
10.1007/s00220-023-04747-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this paper, we prove that small-amplitude Stokes waves with infinite depth are nonlinearly unstable under long-wave perturbations. Our approach is based on the modulational approximation of the water wave system and the instability mechanism of the focusing cubic nonlinear Schrodinger equation.
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收藏
页码：1345 / 1452
页数：108
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