On the dynamics of internal waves interacting with the equatorial undercurrent
Preprint
Abstract
The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system.Keywords
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This publication has 14 references indexed in Scilit:
- A Hamiltonian approach to wave-current interactions in two-layer fluidsPhysics of Fluids, 2015
- The dynamics of waves interacting with the Equatorial UndercurrentGeophysical & Astrophysical Fluid Dynamics, 2015
- Hamiltonian formulation of 2 bounded immiscible media with constant non-zero vorticities and a common interfaceWave Motion, 2015
- Hamiltonian approach to the modeling of internal geophysical waves with vorticityMonatshefte für Mathematik, 2014
- An exact solution for equatorial geophysical water waves with an underlying currentEuropean Journal of Mechanics - B/Fluids, 2013
- An exact solution for equatorially trapped wavesJournal of Geophysical Research: Oceans, 2012
- Coupling between internal and surface wavesNatural Hazards, 2010
- Nearly-Hamiltonian Structure for Water Waves with Constant VorticityJournal of Mathematical Fluid Mechanics, 2007
- Hamiltonian long‐wave expansions for free surfaces and interfacesCommunications on Pure and Applied Mathematics, 2005
- Stability of periodic waves of finite amplitude on the surface of a deep fluidJournal of Applied Mechanics and Technical Physics, 1968