New gravity–capillary waves at low speeds. Part 1. Linear geometries
From MaRDI portal
Publication:5417393
DOI10.1017/jfm.2013.110zbMath1287.76068arXiv1304.6225OpenAlexW3105026209MaRDI QIDQ5417393
Philippe H. Trinh, S. Jonathan Chapman
Publication date: 21 May 2014
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.6225
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items (13)
Exponential asymptotics for elastic and elastic-gravity waves on flow past submerged obstacles ⋮ Unsteady flow over a submerged source with low Froude number ⋮ A line sink in a flowing stream with surface tension effects ⋮ On reduced models for gravity waves generated by moving bodies ⋮ New singularities for Stokes waves ⋮ New gravity–capillary waves at low speeds. Part 2. Nonlinear geometries ⋮ On the structure of steady parasitic gravity-capillary waves in the small surface tension limit ⋮ Gravity–capillary waves in reduced models for wave–structure interactions ⋮ Selection of a Hele-Shaw Bubble via Exponential Asymptotics ⋮ Three-dimensional capillary waves due to a submerged source with small surface tension ⋮ A note on the Stokes phenomenon in flow under an elastic sheet ⋮ The wake of a two-dimensional ship in the low-speed limit: results for multi-cornered hulls ⋮ Steady gravity waves due to a submerged source
Cites Work
- Unnamed Item
- Free surface flow under gravity and surface tension due to an applied pressure distribution. II: Bond number less than one-third
- Asymptotic methods in fluid mechanics: Survey and recent advances. Papers from the course and workshop, Udine, Italy, September 21--25, 2009.
- Truncation approximations for gravity-capillary free-surface flows
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Structural stability of the Korteweg-de Vries solitons under a singular perturbation
- The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
- Rigorous results in steady finger selection in viscous fingering
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Free-surface flow under gravity and surface tension due to an applied pressure distribution. I: Bond number greater than one-third
- Do waveless ships exist? Results for single-cornered hulls
- Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension
- Exponential Asymptotics and Capillary Waves
- Solitary and periodic gravity—capillary waves of finite amplitude
- An exact solution for progressive capillary waves of arbitrary amplitude
- Exact solitary water waves with capillary ripples at infinity
- Exponential asymptotics and gravity waves
- FREE-SURFACE FLOW OF A STREAM OBSTRUCTED BY AN ARBITRARY BED TOPOGRAPHY
- Free-surface flow over a step
- Gravity-capillary solitary waves in water of infinite depth and related free-surface flows
- Solitary internal waves with oscillatory tails
- Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations
- Nonlinear bow flows with spray
- Stokes Phenomenon and Matched Asymptotic Expansions
- New gravity–capillary waves at low speeds. Part 2. Nonlinear geometries
- Exponential asymptotics and Stokes lines in a partial differential equation
This page was built for publication: New gravity–capillary waves at low speeds. Part 1. Linear geometries
