Semiclassical Limit to the Generalized Nonlinear Schrödinger Equation

Semiclassical Limit to the Generalized Nonlinear Schrödinger Equation

Year:    2018

Author:    Boling Guo, Guoquan Qin

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 3 : pp. 221–243

Abstract

In this paper, we investigate the semiclassical limit of the generalized nonlinear Schrödinger 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 Schrödinger equation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-AAM-20574

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 3 : pp. 221–243

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    quantum hydrodynamics dispersive limit compressible Euler equation.

Author Details

Boling Guo

Guoquan Qin