On the nonlinear critical layer below a nonlinear unsteady surface wave

DOI10.1017/S0022112086002847zbMath0629.76018OpenAlexW2148248502MaRDI QIDQ3766992

R. S. Johnson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1017/s0022112086002847

zbMATH Keywords

Euler equationsasymptotic expansionsKorteweg-de Vries equationtwo-dimensional channelnonlinear critical layerformation of the Cat's eyeunsteady free surface wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Weakly nonlinear waves in stratified shear flows ⋮ Ring waves on the surface of shear flows: a linear and nonlinear theory ⋮ Steady water waves with multiple critical layers: interior dynamics ⋮ The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations ⋮ Water Waves near a Shoreline in a Flow with Vorticity: Two Classical Examples ⋮ Stagnation Points Beneath Rotational Solitary Waves in Gravity-Capillary Flows ⋮ Asymptotic Methods for Weakly Nonlinear and Other Water Waves ⋮ Linear water waves with vorticity: Rotational features and particle paths ⋮ Time-dependent Kelvin cat-eye structure due to current–topography interaction ⋮ Steady water waves with a critical layer ⋮ Long Nonlinear Surface Waves in the Presence of a Variable Current

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