Seminar in Analysis and Geometry

In this talk, I will discuss joint work with Tristan Buckmaster, Nader Masmoudi, and Vlad Vicol in which we construct non-conservative solutions to the Euler equations which belong to the regularity class $C^0_t H^{1/2-}_x$. The motivation for such solutions comes from Kolmogorov's K41 theory and a feature of turbulent flows known as intermittency. The method of proof is a convex integration scheme which is suitable for this intermittent setting.