On the shore singularity of water waves. I. The local model

DOI10.1063/1.865967zbMath0615.76021OpenAlexW1984568363MaRDI QIDQ4723481

Richard E. Meyer

Publication date: 1986

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.865967

zbMATH Keywords

singularitynonlinear equationssingular wave equationsbeaches of small slopeinviscid water waves

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Regularity for a singular conservation law ⋮ Solving the nonlinear shallow-water equations in physical space ⋮ Notes on wave attenuation on beaches ⋮ The near-shore behaviour of shallow-water waves with localized initial conditions ⋮ Overturning of nonlinear acoustic waves. Part 1 A general method

Cites Work

• Global invertibility of Sobolev functions and the interpenetration of matter
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