On the Locally Self-Similar Blowup for the Generalized Sqg Equation
On the Locally Self-Similar Blowup for the Generalized Sqg Equation
We analyze finite-time blowup scenarios of locally self-similar type for the inviscid generalized surface quasi-geostrophic equation (gSQG) in $\R^2$. Under an $L^r$ growth assumption on the self-similar profile and its gradient, we identify appropriate ranges of the self-similar parameter where the profile is either identically zero, and hence blowup cannot …