Seminari del Dipartimento di Matematica

Seminario del 2022

Antonio J. Fernandez

Desingularization of vortices for the generalized SQG equations

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

We consider the generalized inviscid surface-quasigeostrophic equations (gSQG) and analyse the existence of a smooth compactly supported solution to the (gSQG) which is concentrated around N moving vortices. The result we discuss could be understood as the extension to the case of the (gSQG) of the seminal result of Marchioro and Pulvirenti concerning the bi-dimensional incompressible Euler equations. However, the information about the dynamic behaviour and the shape of the constructed solution that we obtain is much more precise than the obtained by Marchioro and Pulvirenti. The talk is based on a joint work with Manuel del Pino.