Global solutions for the generalized SQG patch equation

Diego Córdoba, Javier Gómez-Serrano, Alexandru D. Ionescu

We consider the inviscid generalized surface quasi-geostrophic equation (gSQG) in a patch setting, where the parameter $\alpha \in (1,2)$. The cases $\alpha =0$ and $\alpha =1$ correspond to 2d Eu…