VAPS40:'An Intermittent Onsager Theorem'

Speaker: Matt Novack from IAS / Princeton University / Purdue

Abstract: In this talk, we will motivate and outline a construction of non-conservative weak solutions to the 3D incompressible Euler equations with regularity which simultaneously approaches the thresholds C^0_t H^{1/2}_x and C^0_t L^{\infty}_x. By interpolation, such solutions possess nearly 1/3 of a derivative in L^3. Hence this result provides a new proof of the flexible side of the Onsager conjecture which is independent from that of Isett. Of equal importance is that the intermittent nature of our solutions matches that of turbulent flows, which are observed to deviate from the scaling predicted by Kolmogorov’s 1941 theory of turbulence.

This talk is based on a recent joint work with Vlad Vicol and an earlier joint work with Tristan Buckmaster, Nader Masmoudi, and Vlad Vicol.