The superharmonic normal mode instabilities of nonlinear deep-water capillary waves

DOI10.1017/S0022112088001260zbMath0643.76015MaRDI QIDQ3786100

S. John Hogan

Publication date: 1988

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

zbMATH Keywords

asymptotic analysistwo-dimensional perturbationsexact nonlinear deep-water capillary wave solutionSuperharmonic instabilitiessuperharmonic normal mode perturbation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Stability of waves on fluid of infinite depth with constant vorticity, Linear stability of finite-amplitude capillary waves on water of infinite depth, Acoustic excitation of superharmonic capillary waves on a meniscus in a planar microgeometry, On the stability of gravity waves on deep water, The stability of capillary waves on fluid sheets, Nonlinear stability of resonant capillary-gravity waves

Cites Work

• An exact solution for progressive capillary waves of arbitrary amplitude
• Three-Dimensional Stability and Bifurcation of Capillary and Gravity Waves on Deep Water
• Some effects of surface tension on steep water waves