Madelung, Gross-Pitaevskii and Korteweg

Mathematics – Analysis of PDEs

Scientific paper

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32 pages

Scientific paper

This paper surveys various aspects of the hydrodynamic formulation of the
nonlinear Schrodinger equation obtained via the Madelung transform in connexion
to models of quantum hydrodynamics and to compressible fluids of the Korteweg
type.

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