Georgia Institute of Technology College of Sciences

I will begin by describing the ideas involved in the Nash iterative constructions of solutions to the Euler equations. These were introduced by De Lellis and Szekelyhidi (and developed by many authors) in order to tackle the flexible side of the Onsager conjecture. Then, I will describe Isett’s proof of the conjecture in the 3D case, and highlight the simple reason for which the strategy will not work in 2D. Finally, I will describe a construction of non-conservative solutions that works also in 2D (this is joint work with Vikram Giri).