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A fluid system consisting of two domains is examined. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. An internal wave propagating in one direction, driven by gravity, acts as a free common interface between the fluids. Various current profiles are 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 formulated. The presented models provide potential applications to modelling of internal geophysical waves.
Compelli, A. & Ivanov, R. (2016). Models of internal waves in the presence of currents, Pliska Studia Mathematica Bulgarica, vol. 26 pg. 99–112. Paper published by Technological University Dublin in association with ESHI (Dublin). doi:10.21427/7kbd-2t53