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Leapfrogging for the axisymmetric Gross-Pitaevskii equation
Multi angle
Authors : Smets, Didier (Author of the conference)
CIRM (Publisher )
35Q55 - NLS-like equations (nonlinear Schrödinger)
76B47 - Vortex flows
35Q56 - Ginzburg-Landau equations
CIRM (Publisher )
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Abstract :
The leapfrogging is the name given to a regime of interaction between vortex rings with the same axis of symmetry in incompressible fluids. We will explain where it comes from and indicate a rigorous derivation in the case of the axisymmetric Gross-Pitaevskii equation.
MSC Codes : 35Q55 - NLS-like equations (nonlinear Schrödinger)
76B47 - Vortex flows
35Q56 - Ginzburg-Landau equations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 15/07/2016 Conference Date : 27/06/2016 Subseries : Research talks arXiv category : Analysis of PDEs ; Numerical Analysis ; Mathematical Physics Mathematical Area(s) : PDE ; Numerical Analysis & Scientific Computing ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:49:23 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-06-27_Smets.mp4 
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Information on the Event
Event Title : New challenges in mathematical modelling and numerical simulation of superfluids / Nouveaux défis dans la modélisation mathématique et la simulation numérique de systèmes superfluidesEvent Organizers : Danaila, Ionut ; Carles, Rémi ; Weizhu, Bao Dates : 27/06/2016 - 01/07/2016 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1386.html
Citation Data
DOI : 10.24350/CIRM.V.19009203Cite this video as: Smets, Didier (2016). Leapfrogging for the axisymmetric Gross-Pitaevskii equation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19009203 URI : http://dx.doi.org/10.24350/CIRM.V.19009203 |
See Also
- [Multi angle] Polariton graph simulators / Author of the conference Berloff, Natalia.
- [Multi angle] High-order Magnus integrators for non-autonomous linear evolution equations / Author of the conference Thalhammer, Mechthild.
- [Multi angle] Classical and non-classical flows of superfluids / Author of the conference Barenghi, Carlo.
- [Post-edited] Inhomogeneities and temperature effects in Bose-Einstein condensates / Author of the conference de Bouard, Anne.
Bibliography
- Jerrard, R.L., & Smets, D. (2016). Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation.
