Madelung, Gross-Pitaevskii and Korteweg

被引：61
作者：
Carles, Remi [1 ,2 ]
Danchin, Raphael [3 ]
Saut, Jean-Claude [4 ,5 ]
机构：
[1] CNRS, F-34095 Montpellier, France
[2] Univ Montpellier 2, UMR 5149, F-34095 Montpellier, France
[3] Univ Paris EST, LAMA UMR CNRS 8050, F-94010 Creteil, France
[4] Univ Paris 11, Math Lab, UMR 8628, F-91405 Orsay, France
[5] CNRS, F-91405 Orsay, France
来源：
NONLINEARITY | 2012年 / 25卷 / 10期
关键词：
NONLINEAR SCHRODINGER-EQUATIONS; CAUCHY-PROBLEM; SEMICLASSICAL LIMIT; TRAVELING-WAVES; SPACE DIMENSIONS; SMOOTH SOLUTIONS; EULER EQUATIONS; WELL-POSEDNESS; INFINITY; SYSTEM;
D O I：
10.1088/0951-7715/25/10/2843
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper surveys various aspects of the hydrodynamic formulation of the nonlinear Schrodinger equation obtained via the Madelung transform in connection to models of quantum hydrodynamics and to compressible fluids of the Korteweg type.
引用
收藏
页码：2843 / 2873
页数：31
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