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

页码：241 / 280

页数：40

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