Dynamics of the Schrodinger-Langevin equation

被引：3
作者：
Chauleur, Quentin [1 ]
机构：
[1] Univ Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France
来源：
NONLINEARITY | 2021年 / 34卷 / 04期
关键词：
nonlinear Schrodinger equation; quantum fluid dynamics; logarithmic nonlinearity; global attractor;
D O I：
10.1088/1361-6544/abd528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the nonlinear Schrodinger-Langevin equation for both signs of the logarithmic nonlinearity. We explicitly compute the dynamics of Gaussian solutions for large times, which is obtained through the study of a particular nonlinear differential equation of order 2. We then give the asymptotic behavior of general energy weak solutions under some regularity assumptions. Some numerical simulations are performed in order to corroborate the theoretical results.
引用
收藏
页码：1943 / 1974
页数：32
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