9 citations · 18 across the 8 of their papers we have counts for
9 papers
Quasi-resonant normal form and quadratic lifespan for 3D gravity-capillary water waves
Roberto Feola, Riccardo Montalto, Federico Murgante
We study the long-time dynamics of small-amplitude solutions to the three-dimensional gravity-capillary water waves equations for an inviscid and irrotational fluid with periodic b…
Transfer of energy for pure-gravity water waves with constant vorticity
Beatrice Langella, Alberto Maspero, Federico Murgante +1
We consider two-dimensional periodic gravity water waves with constant nonzero vorticity , in infinite depth and with periodic boundary conditions. We prove that, if the charact…
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…
One dimensional energy cascades in a fractional quasilinear NLS
Alberto Maspero, Federico Murgante
We consider the problem of transfer of energy to high frequencies in a quasilinear Schrödinger equation with sublinear dispersion, on the one dimensional torus. We exhibit initial…
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…
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…
Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence
Massimiliano Berti, Alberto Maspero, Federico Murgante
We prove an almost global in time existence result of small amplitude space periodic solutions of the 1D gravity-capillary water waves equations with constant vorticity. The result…
Long-time stability of the quantum hydrodynamic system on irrational tori
Roberto Feola, Felice Iandoli, Federico Murgante
We consider the quantum hydrodynamic system on a -dimensional irrational torus with . We discuss the behaviour, over a "non trivial" time interval, of the -Sobolev n…
Local well posedness of the Euler-Korteweg equations on
Massimiliano Berti, Alberto Maspero, Federico Murgante
We consider the Euler-Korteweg system with space periodic boundary conditions . We prove a local in time existence result of classical solutions for irrotation…