Nonuniqueness of weak solutions to the SQG equation

Monday, February 27, 2017 - 15:00
Thackeray 703
Speaker Information
Vlad Vicol
Assistant Professor
Princeton University

Abstract or Additional Information

We prove that weak solutions of the inviscid SQG equations are not unique, thereby answering an open problem posed by De Lellis and Szekelyhidi Jr. Moreover, we show that weak solutions of the dissipative SQG equation are not unique, even if the fractional dissipation is stronger than the square root of the Laplacian. This talk is based on a joint work with T. Buckmaster and S. Shkoller.

Research Area