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SEMICLASSICAL LIMIT TO THE GENERALIZED NONLINEAR SCHR?DINGER EQUATION

SEMICLASSICAL LIMIT TO THE GENERALIZED NONLINEAR SCHR?DINGER EQUATION
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摘要 In this paper, we investigate the semiclassical limit of the generalized nonlinear Schrdinger equation for initial data with Sobolev regularity. Also, we will analyze the structure of the fluid dynamical system with quantum effect corresponding to the semiclassical limit of the generalized nonlinear Schrdinger equation. In this paper, we investigate the semiclassical limit of the generalized nonlinear Schrdinger equation for initial data with Sobolev regularity. Also, we will analyze the structure of the fluid dynamical system with quantum effect corresponding to the semiclassical limit of the generalized nonlinear Schrdinger equation.
出处 《Annals of Applied Mathematics》 2018年第3期221-243,共23页 应用数学年刊(英文版)
基金 partially supported by the National Natural Science Foundation of China(No.11731014)
关键词 quantum hydrodynamics dispersive limit compressible Euler equation quantum hydrodynamics dispersive limit compressible Euler equation
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