Dynamics and collisions of nearly parallel vortex filaments

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Miot, Evelyne

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Title

Dynamics and collisions of nearly parallel vortex filaments

Title of Series

Hamiltonian PDEs: KAM, Reducibility, Normal Forms and Applications (19w5076)

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Author

Miot, Evelyne

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/56484 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2019

Language

English

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Subject Area

Mathematics Physics

Genre

Workshop/Interactive Format Lecture

Abstract

We study the issue of collisions in finite time for vortex filaments in 3D incompressible fluids, according to a model introduced by Klein, Majda and Damodaran. We also mention another more precise model for the dynamics of one filament introduced by Zhakarov. This is joint work with Valeria Banica and Erwan Faou.