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arXiv · 1111.4670

Madelung, Gross-Pitaevskii and Korteweg

Rémi Carles·Raphaël Danchin·Jean-Claude Saut
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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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Rémi Carles, Raphaël Danchin, Jean-Claude Saut. 2011-11-20. Madelung, Gross-Pitaevskii and Korteweg. https://doi.org/10.1088/0951-7715%2F25%2F10%2F2843

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