Madelung, Gross-Pitaevskii and Korteweg
  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. 
R\'emi Carles (I3M), Rapha\"el Danchin (LAMA), Jean-Claude Saut   (LM-Orsay)
math.AP math-ph math.MP