Nonlinear Water Waves on Uniform Current in Lagrangian Coordinates

DOI10.1142/S1402925109000054zbMath1171.35450OpenAlexW2078623874MaRDI QIDQ3636327

Yang-Yih Chen, John R. C. Hsu, Wen-Jer Tseng, Hung-Chu Hsu

Publication date: 30 June 2009

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925109000054

zbMATH Keywords

trajectorycurrentnonlinear water wavesLagrangian mean levelLagrangian wave frequency

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solutions to PDEs in closed form (35C05)

Related Items (10)

Lagrangian description of gravity-capillary waves propagating on a sloping bottom ⋮ Analytical approximation and numerical simulations for periodic travelling water waves ⋮ Asymptotic expansions for steady periodic water waves in flows with constant vorticity ⋮ Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results ⋮ Solitary water waves propagating on an underlying uniform current over a finite depth ⋮ Pressure beneath a solitary water wave: mathematical theory and experiments ⋮ Capillary-gravity water waves with discontinuous vorticity: existence and regularity results ⋮ An exact solution for equatorial waves ⋮ Steady solution of solitary wave and linear shear current interaction ⋮ Some nonlinear internal equatorial waves with a strong underlying current

Cites Work

• The trajectories of particles in Stokes waves
• Eulerian and Lagrangian aspects of surface waves
• The trajectories of particles in steep, symmetric gravity waves
• Symmetry of steady deep-water waves with vorticity
• Wave–current interactions: an experimental and numerical study. Part 2. Nonlinear waves
• Interaction of Water Waves and Currents
• Evolution of a short surface wave on a very long surface wave of finite amplitude
• Exact steady periodic water waves with vorticity
• Edge waves along a sloping beach
• Symmetry of steady periodic surface water waves with vorticity

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