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Cluster of vortex helices in the incompressible three-dimensional Euler equations

Ignacio Guerra, Monica Musso

Research output: Contribution to journalArticlepeer-review

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Abstract

In an inviscid and incompressible fluid in dimension 3, we prove the existence of several helical filaments, or vortex helices, collapsing into each other
Original languageEnglish
Pages (from-to)547-592
Number of pages46
JournalAnnales De L Institut Henri Poincare: Analyse Non Linéaire
Volume42
Issue number3
Early online date9 Apr 2024
DOIs
Publication statusPublished - 30 Apr 2025

Funding

clustered vortex helices, three-dimensional Euler equations, gluing method. Ignacio Guerra was supported by Proyecto Fondecyt Regular 1180628. Monica Musso was supported by EPSRC research Grant EP/T008458/1.

FundersFunder number
Fondo Nacional de Desarrollo Científico y Tecnológico1180628
Engineering and Physical Sciences Research CouncilEP/T008458/1

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