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SUMMARY:Strong Onsager conjecture - Hyunju Kwon - ETH Zürich
DTSTART:20241202T140000Z
DTEND:20241202T150000Z
UID:TALK224575@talks.cam.ac.uk
CONTACT:Giacomo Ageno
DESCRIPTION:Smooth solutions to the incompressible 3D Euler equations cons
 erve kinetic energy in every local region of a periodic spatial domain. In
  particular\, the total kinetic energy remains conserved. When the regular
 ity of an Euler flow falls below a certain threshold\, a violation of tota
 l kinetic energy conservation has been predicted due to anomalous dissipat
 ion in turbulence\, leading to Onsager's theorem. Subsequently\, the L3-ba
 sed strong Onsager conjecture has been proposed to reflect the intermitten
 t nature of turbulence and the local evolution of kinetic energy. This con
 jecture states the existence of Euler flows with regularity below the thre
 shold of $B^{1/3}_{3\,\\infty}$ which not only dissipate total kinetic ene
 rgy but also exhibit intermittency and satisfy the local energy inequality
 . In this talk\, I will discuss the resolution of this conjecture based on
  recent collaboration with Matthew Novack and Vikram Giri.
LOCATION:MR13
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