Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation

Ángel Castro, Daniel Faraco, Francisco Mengual +1

We prove non-uniqueness of weak solutions to the forced $\alpha$-SQG equation with Sobolev regularity $W^{s,p}$ in the supercritical regime $s<\alpha +\frac{2}{p}$, covering the 2D Euler e…