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We show that the Hamiltonian framework permits an elegant formulation of the nonlinear governing equations for the coupling between internal and surface waves in stratified water flows with piecewise constant vorticity.
A. Constantin, R. I. Ivanov and C.-I. Martin, Hamiltonian Formulation for Wave-Current Interactions in Stratified Rotational Flows, Archive for Rational Mechanics and Analysis Published online March 2016. DOI: 10.1007/s00205-016-0990-2