A nonlinear Schrödinger equation for gravity–capillary water waves on arbitrary depth with constant vorticity. Part 1

DOI10.1017/jfm.2018.627zbMath1415.76069arXiv1801.04304OpenAlexW3105582625MaRDI QIDQ4685420

Hung-Chu Hsu, Yang-Yih Chen, Kharif, Christian, Malek Abid

Publication date: 8 October 2018

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04304

zbMATH Keywords

capillary wavessurface gravity waveswaves/free-surface flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (6)

A Hamiltonian Dysthe equation for deep-water gravity waves with constant vorticity ⋮ A nonlinear Schrödinger equation for gravity-capillary waves on deep water with constant vorticity ⋮ NONLINEAR SELF-MODULATION OF GRAVITY-CAPILLARY WAVES ON SHEAR CURRENTS IN FINITE DEPTH ⋮ Progressive flexural–gravity waves with constant vorticity ⋮ Transverse instability of gravity–capillary solitary waves on deep water in the presence of constant vorticity ⋮ Nonlinear hydroelastic waves on a linear shear current at finite depth

Cites Work

• On the stability of weakly-nonlinear gravity-capillary waves
• Steady periodic capillary waves with vorticity
• Gravity-capillary waves in the presence of constant vorticity
• Existence of capillary-gravity water waves with piecewise constant vorticity
• Linear stability of finite-amplitude capillary waves on water of infinite depth
• Steady Periodic Capillary‐Gravity Waves with Vorticity
• Three-Dimensional Stability and Bifurcation of Capillary and Gravity Waves on Deep Water
• The fourth-order evolution equation for deep-water gravity-capillary waves
• On two-dimensional packets of capillary-gravity waves
• On three-dimensional packets of surface waves
• On rotational water waves with surface tension
• Gravity–capillary waves in finite depth on flows of constant vorticity

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