2 papers
math.AP2025
Long time dynamics of space periodic water waves
Massimiliano Berti
We review recent advances regarding the long-time dynamics of space-periodic water waves, focusing on 1) bifurcation of quasi-periodic solutions, both standing and traveling; 2) lo…
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…