The most important result which we obtained in the thesis concern about long time existence of water waves. In particular 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 holds for any value of gravity, vorticity and depth, any surface tension belonging to a full measure set and for any small and smooth enough initial datum.

Hamiltonian PDEs in fluid dynamics: local and long time existence results / Murgante, Federico. - (2023 Mar 06).

Hamiltonian PDEs in fluid dynamics: local and long time existence results

Murgante, Federico
2023-03-06

Abstract

The most important result which we obtained in the thesis concern about long time existence of water waves. In particular 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 holds for any value of gravity, vorticity and depth, any surface tension belonging to a full measure set and for any small and smooth enough initial datum.
6-mar-2023
Berti, Massimiliano
Maspero, Alberto
Murgante, Federico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131190
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