Publications

Authors:

F., Bethuel; Orlandi, Giandomenico; D., Smets

Title:

Vortex rings for the Gross-Pitaevskii equation

Year:

2004

Type of item:

Articolo in Rivista

Tipologia ANVUR:

Articolo su rivista

Language:

Inglese

Format:

A Stampa

Referee:

Sì

Name of journal:

Journal of the European Mathematical Society

ISSN of journal:

1435-9855

N° Volume:

6

Number or Folder:

1

:

Springer

Page numbers:

17-94

Keyword:

Non linear Schroedinger equation; travelling waves; prescribed curvature equation

Short description of contents:

We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross-Pitaevskii (GP) equation in dimension N ³ 3. We also extend the asymptotic analysis of the free field Ginzburg-Landau equation to a larger class of equations, including the Ginzburg-Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if N = 3).

Product ID:

16564

Handle IRIS:

11562/16564

Deposited On:

December 3, 2007

Last Modified:

March 28, 2023

Bibliographic citation:

F., Bethuel; Orlandi, Giandomenico; D., Smets, Vortex rings for the Gross-Pitaevskii equation «Journal of the European Mathematical Society» , vol. 6 , n. 1 , 2004 , pp. 17-94

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