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This article is cited in 2 scientific papers (total in 2 papers)
Special Issue: On the 80th birthday of professor A. Chenciner
Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves
Massimiliano Bertia, Alberto Masperoa, Federico Murganteab a SISSA, Via Bonomea 265, 34136 Trieste, Italy
b Universita degli studi di Trieste, Dipartimento di Matematica e Geoscienze,
Via Valerio 12/1, 34127 Trieste, Italy
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.
Keywords:
water waves equations, vorticity, Hamiltonian Birkhoff normal form, paradifferential
calculus.
Received: 28.02.2023 Accepted: 24.07.2023
Citation:
Massimiliano Berti, Alberto Maspero, Federico Murgante, “Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves”, Regul. Chaotic Dyn., 28:4-5 (2023), 543–560
Linking options:
https://www.mathnet.ru/eng/rcd1220 https://www.mathnet.ru/eng/rcd/v28/i4/p543
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Abstract page: | 26 | References: | 13 |
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