12–16 janv. 2026
Le Bois-Marie
Fuseau horaire Europe/Paris

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

13 janv. 2026, 15:30
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Philip Isett (Caltech)

Description

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.

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