Water waves in shallow channels of rapidly varying depth

DOI10.1017/S0022112092002052zbMath0754.76011OpenAlexW2113196557MaRDI QIDQ4014064

André Nachbin, George S. Papanicolaou

Publication date: 4 October 1992

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

Full work available at URL: https://doi.org/10.1017/s0022112092002052

zbMATH Keywords

boundary element methodstochastic differential equationsasymptotic analysismonochromatic wavesreflected wavesreflection-transmission problemlinear water-wave equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35)

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Cites Work

• Asymptotic analysis of deterministic and stochastic equations with rapidly varying components
• Surface waves on water of non-uniform depth
• Gravity Waves in a Channel with a Rough Bottom
• Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications
• Localization of gravity waves on a channel with a random bottom
• Frequency Content of Randomly Scattered Signals
• Power Reflection at the Input of a Randomly Perturbed Rectangular Waveguide
• Differential equations for long-period gravity waves on fluid of rapidly varying depth
• Probing a Random Medium with a Pulse
• Gravity waves on water of variable depth
• Scattering of surface waves by rectangular obstacles in waters of finite depth