Maspero Lab

Research focus

ERC Consolidator Grant · 2023

Generating Unstable Dynamics in dispersive Hamiltonian fluids

This project aims to prove rigorous results on the generation of unstable dynamics in the dispersive Hamiltonian water waves and geophysical fluid equations: I refer to the outstanding open problems of the formation of energy cascades from low to high frequencies, orbital instabilities and extreme rare phenomena such as rogue waves. All these behaviors are well documented in experiments, real world data and numerical simulations, but still lack a rigorous mathematical proof. Accordingly the project has three lines of research: 1) Energy cascades from low to high frequency modes: I plan to construct solutions of water waves and geophysical fluids equations in which energy shifts from low to…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.