ERC Starting Grant · 2021
Hamiltonian Dynamics, Normal Forms and Water Waves
KAM and normal form methods are very powerful tools for analyzing the dynamics of nearly integrable finite dimensional Hamiltonian systems. In the last decades, the extension of these methods to infinite dimensional systems, like Hamiltonian PDEs (partial differential equations), has attracted the interest of many outstanding mathematicians like Bourgain, Craig, Kuksin, Wayne and many others. These techniques provide some tools for describing the phase space of nearly integrable PDEs. More precisely they give a way to construct special global solutions (like periodic and quasi-periodic solutions) and to analyze stability issues close to equilibria or close to special solutions (like…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.