Spatial dynamics and Hamiltonian structure with vorticity

gov-eqns The paper “On the hamiltonian structure of the planar steady water-wave problem with vorticity“, co-authored by Mark Groves and Athanasios Stylianou has been published in Comptes Rendus Mathematique.  Starting with the stream-function formulation, a natural Lagrangian formulation is presented from which different Hamiltonian formulations are derived via duality theory theory in the spirit of the Legendre-Fenichel transform.  A link to the paper is here.

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