Perturbatively conserved higher nonlocal integral invariants of free-surface deep-water gravity waves
نویسندگان
چکیده
We exhibit a set of six explicit higher nonlocal integral invariants free-surface deep-water gravity waves conserved in lowest nontrivial orders perturbation the amplitude surface displacement.
منابع مشابه
Traveling Waves in Deep Water with Gravity and Surface Tension
This paper is concerned with the simulation of periodic traveling deep-water freesurface water waves under the influence of gravity and surface tension in two and three dimensions. A variety of techniques is utilized, including the numerical simulation of a weakly nonlinear model, explicit solutions of low-order perturbation theories, and the direct numerical simulation of the full water wave e...
متن کاملHigher-order spectral analysis of nonlinear ocean surface gravity 'waves
Bispectral and trispectral analyses are used to detect secondary and tertiary wave components resulting from nonlinear interactions among largeamplitude ocean surface gravity waves in 8and 13-m water depths. Bispectra of bottom-pressure measurements indicate forced secondary waves at frequencies 2fp about twice the primary power spectral peak frequency fp. However, the interpretation of the bis...
متن کاملSpectral Stability of Deep Two-Dimensional Gravity-Capillary Water Waves
In this contribution we study the spectral stability problem for periodic traveling gravity-capillary waves on a two-dimensional fluid of infinite depth. We use a perturbative approach that computes the spectrum of the linearized water wave operator as an analytic function of the wave amplitude/slope. We extend the highly accurate method of Transformed Field Expansions to address surface tensio...
متن کاملLong wavelength bifurcation of gravity waves on deep water
Conditions are found for the appearance of non-uniform progressive waves of permanent form from a long-wave modulation of a finite-amplitude Stokes wave on deep water. The waveheight at which the modulated waves can occur is a very slowly decreasing function of the modulation wavelength for values up to 150 times the original wavelength. Some qualitative remarks are made about the problem of de...
متن کاملIntegral and Asymptotic Properties of Solitary Waves in Deep Water
We consider twoand three-dimensional gravity and gravity-capillary solitary water waves in infinite depth. Assuming algebraic decay rates for the free surface and velocity potential, we show that the velocity potential necessarily behaves like a dipole at infinity and obtain a related asymptotic formula for the free surface. We then prove an identity relating the “dipole moment” to the kinetic ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2021
ISSN: ['1527-2435', '1089-7666', '1070-6631']
DOI: https://doi.org/10.1063/5.0039868