- Authors:
-
F. Bethuel; G. Orlandi; 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:
-
August 16, 2021
- Bibliographic citation:
-
F. Bethuel; G. Orlandi; 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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