Asymptotic stability of the black soliton for the Gross-Pitaevskii equation

被引：21
|
作者：
Gravejat, Philippe [1 ]
Smets, Didier [2 ]
机构：
[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France
[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France
来源：
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2015年 / 111卷
关键词：
NONLINEAR SCHRODINGER-EQUATIONS; SUBCRITICAL GKDV EQUATIONS; GENERALIZED KDV EQUATIONS; TRAVELING-WAVES; GROUND-STATES; ENERGY SPACE; NONINTEGRABLE EQUATIONS; ORBITAL STABILITY; TIME ASYMPTOTICS; SCATTERING;
D O I：
10.1112/plms/pdv025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new framework for the analysis of the stability of solitons for the one-dimensional Gross-Pitaevskii equation. In particular, we establish the asymptotic stability of the black soliton with zero speed.
引用
收藏
页码：305 / 353
页数：49
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