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Leapfrogging for the axisymmetric Gross-Pitaevskii equation

By Didier Smets

Appears in collections : New challenges in mathematical modelling and numerical simulation of superfluids / Nouveaux défis dans la modélisation mathématique et la simulation numérique de systèmes superfluides, Exposés de recherche

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.

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Citation data

  • DOI 10.24350/CIRM.V.19009203
  • Cite this video Smets, Didier (27/06/2016). Leapfrogging for the axisymmetric Gross-Pitaevskii equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19009203
  • URL https://dx.doi.org/10.24350/CIRM.V.19009203

Bibliography

  • Jerrard, R.L., & Smets, D. (2016). Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. <arXiv:1606.05103> - https://arxiv.org/abs/1606.05103

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