An ocean undercurrent, a thermocline, a free surface, with waves: a problem in classical fluid mechanics

DOI10.1080/14029251.2015.1113042zbMath1421.76036OpenAlexW1961440765MaRDI QIDQ5231001

R. S. Johnson

Publication date: 29 August 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2015.1113042

zbMATH Keywords

wavesnonlinearityasymptotic expansionsocean undercurrent

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Free boundary problems for PDEs (35R35)

Related Items (10)

On irrotational flows beneath periodic traveling equatorial waves ⋮ Weakly nonlinear waves in stratified shear flows ⋮ Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography ⋮ Shallow water equations for equatorial tsunami waves ⋮ On a nonlinear integral equation for the ocean flow in arctic gyres ⋮ Internal equatorial water waves and wave-current interactions in the \(f\)-plane ⋮ Azimuthal equatorial capillary-gravity flows in spherical coordinates ⋮ On a differential equation arising in geophysics ⋮ Free-surface capillary-gravity azimuthal equatorial flows ⋮ On the existence of solutions and the pressure function related to the antarctic circumpolar current

Cites Work

• An exact solution for equatorial geophysical water waves with an underlying current
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• A Modern Introduction to the Mathematical Theory of Water Waves
• A New Class of Nonlinear Waves in Parallel Flows
• The dynamics of waves interacting with the Equatorial Undercurrent
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