Stefano Scrobogna

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20232025

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math.AP2025

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

Federico Murgante, Emeric Roulley, Stefano Scrobogna

We consider the Kelvin-Helmholtz system describing the evolution of a vortex-sheet near the circular stationary solution. Answering previous numerical conjectures in the 90s physic…

math.AP2024

Quadratic lifespan for the sublinear $α$ -SQG sharp front problem

Riccardo Montalto, Federico Murgante, Stefano Scrobogna

In this paper we consider the generalized surface quasi-geostrophic $α$ -SQG equations, in the "sublinear regime" $α \in (0, 1)$ and we study the stability of vortex patches close to…

math.AP2023

Paralinearization and extended lifespan for solutions of the $α$ -SQG sharp front equation

Massimiliano Berti, Scipio Cuccagna, Francisco Gancedo +1

In this paper we paralinearize the contour dynamics equation for sharp-fronts of $α$ -SQG, for any $α \in (0, 1) \cup (1, 2)$ , close to a circular vortex. This turns out to be a quas…

Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

Quadratic lifespan for the sublinear α-SQG sharp front problem

Paralinearization and extended lifespan for solutions of the α-SQG sharp front equation

Quadratic lifespan for the sublinear $α$ -SQG sharp front problem

Paralinearization and extended lifespan for solutions of the $α$ -SQG sharp front equation