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The Dynamics of Flat Surface Internal Geophysical Waves with Currents
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A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are presented.
Forward citations
Cited by 2 Pith papers
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Modelling intermediate internal waves with currents and variable bottom
A new asymptotic model, the variable-coefficient Intermediate Long Wave Equation, is derived for interfacial waves with shear currents and a slowly varying bottom, with higher-order corrections and a critical-depth condition.
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Three-layer water flows: Dirichlet-Neumann operators and approximations
Three-layer stratified water flows are cast in Hamiltonian form using Dirichlet-Neumann operators, yielding a dispersion relation and approximate wave speed formulas.
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