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Seminar

FD2 Reunion Seminar: The Strong Onsager Conjecture August 01, 2023 (03:30 PM PDT - 04:30 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Matthew Novack (Purdue University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

FD2 Reunion Seminar: The Strong Onsager Conjecture

Abstract/Media

Phenomenologial theories of turbulence motivate the construction of solutions to the incompressible Euler equations that enjoy regularity consistent with Kolmogorov’s 4/5 law and satisfy a local energy inequality. The "strong Onsager conjecture" asserts that such solutions do indeed exist. In this talk, we will discuss the background and motivation behind the strong Onsager conjecture.  In addition, we outline a construction of solutions with regularity (nearly) consistent with the 4/5 law, thereby proving the conjecture in the natural L^3 scale of Besov spaces.  This is based on joint work with Hyunju Kwon and Vikram Giri.

Meeting ID: 998 5718 9855

Passcode: 983468

Link: https://msri.zoom.us/j/99857189855?pwd=LzRFR2tPN1cydWJNZEZkclZGV2lpQT09

Asset no preview The Strong Onsager Conjecture 1.51 MB application/pdf

FD2 Reunion Seminar: The Strong Onsager Conjecture