Tuesday, October 19 at 3:00pm to 4:00pm
Hyunju Kwon, IAS
Abstract: The incompressible 3D Euler equations have total kinetic energy conservation for smooth (spatially periodic) solutions. In the recent resolution of the Onsager conjecture by Isett, on the other hand, below certain threshold Hölder regularity, Euler flows with total kinetic energy dissipation have been constructed. In this talk, I'll discuss a strong Onsager conjecture: the existence of Hölder continuous Euler flows with total kinetic energy dissipation and satisfying the local energy inequality. I'll also talk about an analogous question for the isentropic compressible Euler equations. The talk will be based on joint works with Camillo De Lellis and Vikram Giri.
Meeting ID: 946 6407 6456