Partial Differential Equations, Analysis and Geometry

Collection Partial Differential Equations, Analysis and Geometry

Organizer(s) Elena Giorgi, Markus Keel, Jérémie Szeftel

Date(s) 12/01/2026 - 16/01/2026

linked URL https://indico.math.cnrs.fr/event/15217/

00:00:00 / 00:00:00

8 8

A Proof of Onsager’s Conjecture for the Incompressible Euler Equations

By Philip Isett

In an effort to explain how anomalous dissipation of energy occurs in hydrodynamic turbulence, Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations may fail to exhibit conservation of energy if their spatial regularity is below 1/3-Hölder. I will discuss a proof of this conjecture that shows that there are nonzero, (1/3-$\epsilon$)-Hölder Euler flows in 3D that have compact support in time.

Information about the video

Date of recording 13/01/2026
Date of publication 14/01/2026
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Analysis of PDEs

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