2020
DOI: 10.20944/preprints202009.0530.v1
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Geometric Aspects of the Isentropic Liquid Dynamics and Vorticity Invariants

Abstract: We review a modern differential geometric description of the fluid isotropic motion and featuring it the diffeomorphism group structure, modelling the related dynamics, as well as its compatibility with the quasi-stationary thermodynamical constraints. There is analyzed the adiabatic liquid dynamics, within which, following the general approach, there is explained in detail, the nature of the related Poissonian structure on the fluid motion phase space, as a semidirect Banach groups product, and a natural redu… Show more

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