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A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows

  • * Corresponding author: Calin Iulian Martin

    * Corresponding author: Calin Iulian Martin
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  • Under consideration here are two-dimensional rotational stratified water flows driven by gravity and surface tension, bounded below by a rigid flat bed and above by a free surface. The distribution of vorticity and of density is piecewise constant-with a jump across the interface separating the fluid of bigger density from the lighter fluid adjacent to the free surface. The main result is that the governing equations for the two-layered rotational stratified flows, as described above, admit a Hamiltonian formulation.

    Mathematics Subject Classification: Primary:35Q31, 35Q35, 76B15, 76D45;Secondary:76D33.


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