2 problems

Consider the generalized $\alpha$-SQG equation and express Hölder regularity through $\Lambda^{-1}\theta\in C^\gamma$. Let $\gamma_U(\alpha)$ denote the threshold for uniqueness in…

Consider the generalized $\alpha$-SQG equation on $\mathbb{R}^2$ with velocity recovered from the temperature by the $\alpha$-Biot–Savart law. Let $s_U$ denote the threshold for un…