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Summer School 2024 - Low dimensional Topology
42 videos

Summer School 2024 - Low dimensional Topology

Summer School 2023 - New trends in mathematical fluid dynamics
31 videos

Summer School 2023 - New trends in mathematical fluid dynamics

Emergent phenomena in many-body quantum systems / Phénomènes émergents des systèmes quantiques a plusieurs corps
5 videos

Emergent phenomena in many-body quantum systems / Phénomènes émergents des systèmes quantiques a plusieurs corps

History of mathematics, Philosophy of mathematics, and mathematics: which interactions? / Histoire des mathématiques, Philosophie des mathématiques, et mathématiques: quelles interactions?
4 videos

History of mathematics, Philosophy of mathematics, and mathematics: which interactions? / Histoire des mathématiques, Philosophie des mathématiques, et mathématiques: quelles interactions?

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Summer School 2023 - New trends in mathematical fluid dynamics

Collection Summer School 2023 - New trends in mathematical fluid dynamics

Organizer(s) Scientific Committee: Anne-Laure Dalibard, Isabelle Gallagher and Frédéric Rousset / Organizing Committee: Thierry Gallay, David Gérard-Varet, Christophe Lacave, David Lannes and Evelyne Miot
Date(s) 05/06/2023 - 16/06/2023
linked URL https://if-summer2023.sciencesconf.org/
00:00:00 / 00:00:00
9 31

Concentrated vortex rings for Euler and Navier-Stokes equations

By Guido Cavallaro

We study the time evolution of an incompressible fluid (both inviscid and viscous) with axial symmetry without swirl, when the initial vorticity is very concentrated in N disjoint rings. We show that in a suitable limit, in which the thickness of the rings (and the viscosity, in the viscous case) tends to zero, the vorticity remains concentrated in N disjointed rings, each one of them performing a simple translation along the symmetry axis with constant speed.

Information about the video

  • Date of recording 07/06/2023
  • Date of publication 09/12/2025
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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