UCLA-USC Joint Analysis and PDE Seminar: Euler flows with local energy dissipation

Tuesday, October 19 at 3:00pm to 4:00pm

This is a past event.
Virtual Event


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.

Dial-In Information

Zoom Meeting: https://ucla.zoom.us/j/94664076456?pwd=cmxmcXQwSmMzSlRIUkMzUXE0RWlWQT09

Meeting ID: 946 6407 6456
Passcode: UCLA

Event Type

Lecture / Talk / Workshop

Department
Mathematics
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