The polar-Cartesian mild-slope equation

DOI10.1017/jfm.2023.576zbMath1530.76012OpenAlexW4386251499MaRDI QIDQ6178503

Yehuda Agnon, Unnamed Author, Alexander Oron

Publication date: 4 September 2023

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

Full work available at URL: https://doi.org/10.1017/jfm.2023.576

zbMATH Keywords

variational principleLagrangiansurface gravity wavelinear dispersion relationobliquely incident wavecomplex-valued vector streamfunctionquasi-three-dimensional equation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Complex variables methods applied to problems in fluid mechanics (76M40)

Cites Work

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• A note on the use of a new dispersion formula for wave transformation over Roseau's curved beach profile
• A scalar form of the complementary mild-slope equation
• An alternative dispersion equation for water waves over an inclined bed
• A general wave equation for waves over rippled beds
• Scattering of surface waves by a conical island
• Topographical scattering of gravity waves
• Oblique wave incidence on a plane beach: the classical problem revisited
• The mild-slope equations
• A new complementary mild-slope equation
• The modified mild-slope equation
• The mild-slope equations: a unified theory
• An extended linear shallow-water equation

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