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

Ignacio Guerra; Monica Musso

doi:10.4171/aihpc/119

JournalsaihpcVol. 42, No. 3pp. 547–592

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

Ignacio Guerra
Universidad de Santiago de Chile (USACH), Santiago, Chile
Monica Musso
University of Bath, Bath, United Kingdom

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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.

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Ignacio Guerra, Monica Musso, Cluster of vortex helices in the incompressible three-dimensional Euler equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 42 (2025), no. 3, pp. 547–592

DOI 10.4171/AIHPC/119