Madelung, Gross-Pitaevskii and Korteweg
Analysis of PDEs
2012-10-01 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1111.4670,
title = {Madelung, Gross-Pitaevskii and Korteweg},
author = {Rémi Carles and Raphaël Danchin and Jean-Claude Saut},
journal= {arXiv preprint arXiv:1111.4670},
year = {2012}
}
Comments
32 pages