Leapfrogging Vortex Rings for the Three Dimensional Gross-Pitaevskii Equation

被引：0

作者：

Jerrard R.L. ^{[1
]}

Smets D. ^{[2
]}

机构：

[1] Department of Mathematics, University of Toronto, Toronto, M5S 2E4, ON

[2] Laboratoire Jacques-Louis Lions, Université Pierre and Marie Curie, 4 place Jussieu BC 187, Paris Cedex 05

来源：

Annals of PDE | 2018年 / 4卷 / 1期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Gross-Pitaevskii equation; Incompressible Euler equation; Leapfrogging; Vortex rings;

D O I：

10.1007/s40818-017-0040-x

中图分类号：

学科分类号：

摘要：

Leapfrogging motion of vortex rings sharing the same axis of symmetry was first predicted by Helmholtz in his famous work on the Euler equation for incompressible fluids. Its justification in that framework remains an open question to date. In this paper, we rigorously derive the corresponding leapfrogging motion for the axially symmetric three-dimensional Gross-Pitaevskii equation. © 2017, Springer International Publishing AG, part of Springer Nature.

引用

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