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Madelung, Gross-Pitaevskii and Korteweg
Journal article   Open access   Peer reviewed

Madelung, Gross-Pitaevskii and Korteweg

Rémi Carles, Raphaël Danchin and Jean-Claude Saut
Nonlinearity, Vol.25(10), pp.2843-2873
2012

Abstract

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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