A Hamiltonian approach to wave-current interactions in two-layer fluids

A. Constantin, R. I. Ivanov
2015 Physics of Fluids  
We provide a Hamiltonian formulation for the governing equations describing the two-dimensional nonlinear interaction between coupled surface waves, internal waves and an underlying current with piecewise constant vorticity, in a two-layered fluid overlying a flat bed. This Hamiltonian structure is a starting point for the derivation of simpler models, which can be obtained systematically by expanding the Hamiltonian in dimensionless parameters. These enable an in-depth study of the coupling
more » ... of the coupling between the surface and internal waves, and how both these wave systems interact with the background current.
doi:10.1063/1.4929457 fatcat:tmd7eytrwbaudlyztfp4bx3b6m