5 papers
Singular Contour Dynamics and Paradifferential Reduction
Xingyu Li, Emeric Roulley, Stefano Scrobogna
We develop a direct paradifferential approach to nonlinear graph integral operators arising in contour dynamics. The main methodological result is an abstract structure-preserving…
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…
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…
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…
On asymptotic stability on a center hypersurface at the soliton for even solutions of the NLKG when
Scipio Cuccagna, Masaya Maeda, Federico Murgante +1
We extend the result M. Kowalczyk, Y. Martel, C. Muñoz, JEMS 2022, on the existence, in the context of spatially even solutions, of asymptotic stability on a center hypersurface at…