Progressive flexural–gravity waves with constant vorticity

Z Wang, X Guan, JM Vanden-Broeck - Journal of Fluid Mechanics, 2020 - cambridge.org
This paper is concerned with the interaction of vertically sheared currents with two-
dimensional flexural–gravity waves in finite depth. A third-order Stokes expansion is carried …

The Whitham equation for hydroelastic waves

E Dinvay, H Kalisch, D Moldabayev, EI Părău - Applied Ocean Research, 2019 - Elsevier
A weakly nonlinear fully dispersive model equation is derived which describes the
propagation of waves in a thin elastic body overlying an incompressible inviscid fluid. The …

Solitary flexural–gravity waves in three dimensions

O Trichtchenko, EI Părău… - … of the Royal …, 2018 - royalsocietypublishing.org
The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating
at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special …

An application of Nwogu's Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves

MM Bhatti, DQ Lu - Open Physics, 2019 - degruyter.com
This article deals with the nonlinear head-on collision between two hydroelastic solitary
waves in plate–covered water with Nwogou's Boussinesq model for the nonlinear fluid …

A Hamiltonian Dysthe equation for hydroelastic waves in a compressed ice sheet

P Guyenne, A Kairzhan, C Sulem - Journal of Fluid Mechanics, 2025 - cambridge.org
Nonlinear hydroelastic waves along a compressed ice sheet lying on top of a two-
dimensional fluid of infinite depth are investigated. Based on a Hamiltonian formulation of …

Wilton ripples in weakly nonlinear dispersive models of water waves: existence and analyticity of solution branches

B Akers, DP Nicholls - Water Waves, 2021 - Springer
Traveling waves on the surface of the ocean play an important role in many oceanographic
processes which necessitates a detailed quantitative understanding of their properties. The …

Effective wavelength of envelope waves on the water surface beneath an ice sheet: Small amplitudes and moderate depths

AT Il'ichev - Theoretical and Mathematical Physics, 2021 - Springer
We focus our attention on the comparison of wavelengths of envelopes, monochromatic
waves, and speeds of so-called envelope solitary waves on the surface of water beneath an …

Nonlinear hydroelastic waves on a linear shear current at finite depth

T Gao, Z Wang, PA Milewski - Journal of Fluid Mechanics, 2019 - cambridge.org
This work is concerned with waves propagating on water of finite depth with a constant-
vorticity current under a deformable flexible sheet. The pressure exerted by the sheet is …

The viscous surface wave problem with generalized surface energies

A Remond-Tiedrez, I Tice - SIAM Journal on Mathematical Analysis, 2019 - SIAM
We study a three-dimensional incompressible viscous fluid in a horizontally periodic domain
with finite depth whose free boundary is the graph of a function. The fluid is subject to gravity …

Эффективные длины волн огибающей на поверхности воды под ледяным покровом: малые амплитуды и умеренные глубины

АТ Ильичев - Теоретическая и математическая физика, 2021 - mathnet.ru
Производится сравнение длин волн огибающих, монохроматических волн и скоростей
так называемых уединенных волн огибающей на поверхности идеальной жидкости …