Flow underlying coupled surface and internal waves

DOI10.1016/j.jde.2021.11.009zbMath1482.35170OpenAlexW3211369324MaRDI QIDQ2064315

Yanyan Li

Publication date: 5 January 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.11.009

zbMATH Keywords

phase portraitsparticle trajectoriessurface wavesinternal waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Traveling wave solutions (35C07) PDEs in connection with geophysics (35Q86) Liquid-liquid two component flows (76T06)

Related Items

Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface, Rigidity of three-dimensional internal waves with constant vorticity, Exact internal waves in the presence of mean currents and rotation, Flow dynamics for coupled surface and internal deep-water waves, Velocity and energy of periodic travelling interfacial waves between two bounded fluids, On some azimuthal equatorial flows, The global bifurcation and geometric properties of steady periodic equatorial internal waves with fixed-depth, Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Steady periodic flow induced by the Korteweg-de Vries equation
• On particle trajectories in linear water waves
• The trajectories of particles in Stokes waves
• Asymptotic models for internal waves
• Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
• Particle trajectories in linear deep-water waves
• Particle trajectories in linear water waves
• Steady water waves with multiple critical layers: interior dynamics
• On the particle paths and the stagnation points in small-amplitude deep-water waves
• On particle trajectories in linear deep-water waves
• On irrotational flows beneath periodic traveling equatorial waves
• Linear water waves with vorticity: Rotational features and particle paths
• Small-amplitude equatorial water waves with constant vorticity: dispersion relations and particle trajectories
• Particle trajectories in extreme Stokes waves over infinite depth
• Hamiltonian formulation for wave-current interactions in stratified rotational flows
• The surface signature of internal waves
• Internal Gravity Waves
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Particle trajectories in extreme Stokes waves
• The trajectories of particles in steep, symmetric gravity waves
• The trajectories of particles in deep-water Stokes waves
• A Hamiltonian approach to wave-current interactions in two-layer fluids
• On the Deep-Water Stokes Wave Flow
• Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves
• Morse Theory. (AM-51)
• Stokes drift
• Atmospheric and Oceanic Fluid Dynamics
• The flow beneath a periodic travelling surface water wave
• Particle trajectories in linear periodic capillary and capillary–gravity water waves
• Particle trajectories in solitary water waves
• LONG NONLINEAR INTERNAL WAVES
• Hamiltonian long‐wave expansions for free surfaces and interfaces
• Equatorial wave-current interactions