Hamiltonian description of nonlinear processes in incompressible liquids with a free boundary

I.M. Khalatnikov and V.L. Pokrovsky

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 2, 288-304

Abstract: We propose the Hamiltonian approach to the hydrodynamics of a compressible liquid with a free boundary based on perturbation theory and analytical continuation. Amplitudes of the bulk and surface waves play the role of canonical variables. We argue that there exist no local canonical variables. For a simplified model of a barotropic liquid we have found the decay amplitude of the bulk sound into two surface waves and the amplitude of the Cherenkov radiation of a surface wave generated by the bulk sound.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:2:p:288-304

DOI: 10.1016/0378-4371(90)90017-M

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