1 citations · 1 across the 5 of their papers we have counts for
5 papers
Almost global large deviations principle for the KdV equation
Riccardo Berforini D'Aquino, Ricardo Grande
We study extreme wave formation for the Korteweg-de Vries equation on the torus with random initial data of average size . We establish a large deviations principle for the supr…
Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain
Matteo Gallone, Ricardo Grande, Antonio Ponno +2
We investigate the dynamics of the Fermi--Pasta--Ulam--Tsingou chain with long-wavelength random initial data. When the energy per particle is small, thermal equilibrium is not rea…
Rogue waves and large deviations for 2D pure gravity deep water waves
Massimiliano Berti, Ricardo Grande, Alberto Maspero +1
Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathema…
Resonant large deviations principle for the beating NLS equation
Ricardo Grande
We prove a large deviations principle for the solution to the beating NLS equation on the torus with random initial data supported on two Fourier modes. When these modes have diffe…
On the convergence rates of discrete solutions to the Wave Kinetic Equation
Michele Dolce, Ricardo Grande
In this paper, we consider the long-term behavior of some special solutions to the Wave Kinetic Equation (WKE). This equation provides a mesoscopic description of wave systems inte…