3 papers
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
Steady vortex sheets in presence of surface tension
Federico Murgante, Emeric Roulley, Stefano Scrobogna
We prove a bifurcation result of uniformly-rotating/stationary non-trivial vortex sheets near the circular distribution for a model of two irrotational fluids with same density tak…
math.AP2024
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 a…