TY - JOUR
T1 - Semiclassical Limit to the Generalized Nonlinear Schrödinger Equation
AU - Guo , Boling
AU - Qin , Guoquan
JO - Annals of Applied Mathematics
VL - 3
SP - 221
EP - 243
PY - 2022
DA - 2022/06
SN - 34
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20574.html
KW - quantum hydrodynamics, dispersive limit, compressible Euler
equation.
AB - <p style="text-align: justify;">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.</p>