3 papers
math.AP2024
Quadratic lifespan for the sublinear -SQG sharp front problem
Riccardo Montalto, Federico Murgante, Stefano Scrobogna
In this paper we consider the generalized surface quasi-geostrophic -SQG equations, in the "sublinear regime" and we study the stability of vortex patches close to…
math.AP2023
Paralinearization and extended lifespan for solutions of the -SQG sharp front equation
Massimiliano Berti, Scipio Cuccagna, Francisco Gancedo +1
In this paper we paralinearize the contour dynamics equation for sharp-fronts of -SQG, for any , close to a circular vortex. This turns out to be a quas…
math.AP2023
Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations
Francesco De Anna, Joshua Kortum, Stefano Scrobogna
We address a physically-meaningful extension of the Prandtl system, also known as hyperbolic Prandtl equations. We show that the linearised model around a non-monotonic shear flow…