Abstract

After giving my personal recollections of my collaboration in the early 90’s with Yves Couder on the subject of vortex filaments in classical turbulence I argue that current insights in quantum turbulence can be used to shed some light on the problem of classical filaments blowup.

Highlights

  • In my contribution to this special issue of Comptes Rendus de Mécanique in the honor of Yves Couder, I would like to do two things

  • The interesting mathematical point is that low-temperature superfluid turbulence is described by the Gross–Pitaevskii equation (GPE) [24,25,26] and the turbulence problem can be exposed to a different mathematical light

  • As stated in the introduction, I will try to see if current insights in quantum turbulence can be used to shed some light on the problem of filaments blowup that is perhaps related to vortex breakdown [28]

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Summary

Introduction

In my contribution to this special issue of Comptes Rendus de Mécanique in the honor of Yves Couder, I would like to do two things. First I will give my personal recollections of the situation and events surrounding our collaboration in the early 90’s on the subject of vortex filaments in classical turbulence. Our collaboration took place at the start of the 90’s. Both Yves Couder and myself were members of the Laboratoire de Physique Statistique (LPS) that had been established in 1988 at the ENS by Pierre Lallemand. Yves Couder had his own experimental team at the LPS and I was a member of Y. ISSN (electronic) : 1873-7234 https://comptes- rendus.academie- sciences.fr/mecanique/

Vortex filaments in classical turbulence
Depressions in the Taylor–Green vortex
Filaments in the French washing machine
Quantum turbulence and filaments blowup
Gross–Pitaevskii equation
Conclusion
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