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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
25 31

Long time behavior for vortex dynamics in the 2 dimensional Euler equations

By Monica Musso

The evolution of a two dimensional incompressible ideal fluid with smooth initial vorticity concentrated in small regions is well understood on finite intervals of time: it converges to a super position of Dirac deltas centered at collision-less solutions to the point vortex system, in the limit of vanishing regions. Even though for generic initial conditions the vortex point system has a global smooth solution, much less is known on the long time behavior of the fluid vorticity.We consider the case of two vortex pairs traveling in opposite directions. Using gluing methods we describe the global dynamics of this configuration. This work is in collaboration with J Davila (U. of Bath), M. del Pino (U of Bath) and S. Parmeshwar (Imperial College London).

Information about the video

  • Date of recording 14/06/2023
  • Date of publication 09/12/2025
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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