Nonlinear evolution equations for two-dimensional surface waves in a fluid of finite depth

DOI10.1017/S0022112095002011zbMath0920.76013OpenAlexW2100160911MaRDI QIDQ4879243

Wooyoung Choi

Publication date: 19 September 1999

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

Full work available at URL: https://doi.org/10.1017/s0022112095002011

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Related Items

Frequency spectra evolution of two-dimensional focusing wave groups in finite depth water ⋮ Evaluation of a deep-water wave breaking criterion ⋮ Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation ⋮ Interaction of finite-amplitude waves with vertically sheared current fields ⋮ Reconciling different formulations of viscous water waves and their mass conservation ⋮ Group resonant interactions between surface and internal gravity waves in a two-layer system ⋮ Rectification of a deep water model for surface gravity waves ⋮ Modeling shallow water waves ⋮ A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth ⋮ Rigorous asymptotic models of water waves ⋮ Large time existence for 3D water waves and asymptotics ⋮ A comparative study of bi-directional Whitham systems ⋮ A linearized implicit pseudo-spectral method for certain non-linear water wave equations ⋮ Discreteness and its effect on water-wave turbulence ⋮ Energy dissipation in two-dimensional unsteady plunging breakers and an eddy viscosity model ⋮ Nonlinear waves and solitons in water ⋮ Well-posedness on large time for a modified full dispersion system of surface waves

Cites Work

• Initial-value problems for spot disturbances in incompressible or compressible boundary layers