Federico Murgante
Publications:
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Berti M., Maspero A., Murgante F.
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves
2023, vol. 28, nos. 4-5, pp. 543-560
Abstract
We present the almost global in time existence result in [13] of small amplitude space periodic solutions of the 1D gravity-capillary water waves equations with constant vorticity and we describe the ideas of proof. This is based on a novel Hamiltonian paradifferential Birkhoff normal form approach for quasi-linear PDEs.
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