On the KP I Transonic Limit of Two-Dimensional Gross-Pitaevskii Travelling Waves

被引：17
|
作者：
Bethuel, Fabrice [1 ]
Gravejat, Philippe [2 ]
Saut, Jean-Claude [3 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France
[2] Univ Paris 09, Ctr Rech Math Decis, F-75775 Paris 16, France
[3] Univ Paris 11, Math Lab, F-91405 Orsay, France
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 5卷 / 03期
关键词：
Transonic limit; Kadomtsev-Petviashvili equation; Gross-Pitaevskii equation; travelling waves;
D O I：
10.4310/DPDE.2008.v5.n3.a3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of the minimizing travelling waves for the two-dimensional Gross-Pitaevskii equation towards ground states for the Kadomtsev-Petviashvili equation (KP I).
引用
收藏
页码：241 / 280
页数：40
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