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The binormal flow: a toy model for turbulence
Abstract
These notes summarize the content of a one-week course given by Luis Vega on the binormal flow model applied to describe the dynamics of three-dimensional vortex filaments in incompressible fluids following the Euler equations. This topic touches connections between the binormal flow, the Schrödinger map and the 1d cubic nonlinear Schrödinger equation, providing a rich casuistry linked to the physical and numerical phenomenology. This course was part of the 2nd Advanced Summer School held at the Institut d'Etudes Scientifiques de Cargèse (IESC), at Cargèse (Corsica), from 20th to 30th June 2023. These notes have been written and completed by two of its attendees, Elena Danesi and Pablo Merino.
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BibTeX
@misc{danesi2026binormal,
title = {{The binormal flow: a toy model for turbulence}},
author = {Elena Danesi and Pablo Merino and Luis Vega},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13457},
eprint = {2610.13457},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13457},
}
RIS
TY - UNPB
TI - The binormal flow: a toy model for turbulence
AU - Elena Danesi
AU - Pablo Merino
AU - Luis Vega
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13457
UR - https://arxiv.org/abs/2610.13457
AB - These notes summarize the content of a one-week course given by Luis Vega on the binormal flow model applied to describe the dynamics of three-dimensional vortex filaments in incompressible fluids following the Euler equations. This topic touches connections between the binormal flow, the Schrödinger map and the 1d cubic nonlinear Schrödinger equation, providing a rich casuistry linked to the physical and numerical phenomenology. This course was part of the 2^nd Advanced Summer School held at the Institut d'Etudes Scientifiques de Cargèse (IESC), at Cargèse (Corsica), from 20^th to 30^th June 2023. These notes have been written and completed by two of its attendees, Elena Danesi and Pablo Merino.
ER -