Almost limiting configurations of steady interfacial overhanging gravity waves

DOI10.1017/jfm.2018.721zbMath1415.76107OpenAlexW2897976740WikidataQ129114189 ScholiaQ129114189MaRDI QIDQ4559161

Ruslan R. Sharipov, Dmitri V. Maklakov

Publication date: 3 December 2018

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

Full work available at URL: https://doi.org/10.1017/jfm.2018.721

zbMATH Keywords

computational methodsinternal wavesinterfacial flows (free surface)

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55)

Related Items

New solutions for interfacial capillary waves of permanent form ⋮ Nonlinear travelling periodic waves for the Euler equations in three-layer flows ⋮ Velocity and energy of periodic travelling interfacial waves between two bounded fluids ⋮ A note on the existence of pure gravity waves at the interface of two fluids ⋮ New solutions for periodic interfacial gravity waves ⋮ A local model for the limiting configuration of interfacial solitary waves

Cites Work

• Unnamed Item
• On the Stokes conjecture for the wave of extreme form
• A practical guide to splines
• Elliptic partial differential equations of second order
• Overturned internal capillary-gravity waves
• Properties of analytic splines. I: Complex polynomial splines
• Nonlinear interfacial progressive waves near a boundary in a Boussinesq fluid
• An exact solution for progressive capillary waves of arbitrary amplitude
• Overhanging interfacial gravity waves of large amplitude
• Interfacial progressive gravity waves in a two-layer shear flow
• Large amplitude progressive interfacial waves
• Finite-amplitude interfacial waves in the presence of a current
• Theory of the almost-highest wave: the inner solution
• Theory of the almost-highest wave. Part 2. Matching and analytic extension
• Asymptotic theory for the almost-highest solitary wave
• Almost-highest gravity waves on water of finite depth
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• Complex Cubic Splines
• The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves