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Regular and Chaotic Dynamics, 2023, Volume 28, Issue 4-5, Pages 543–560
DOI: https://doi.org/10.1134/S1560354723040032 (Mi rcd1220) 		 
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
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DOI: https://doi.org/10.1134/S1560354723040032
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.
Funding agency Grant number
PRIN 2020XB3EFL001
Research supported by PRIN 2020 (2020XB3EFL001) ''Hamiltonian and dispersive PDEs''.
Received: 28.02.2023
Accepted: 24.07.2023
Document Type: Article
MSC: 76B15, 37K55, 37J40
Language: English
Citation: Massimiliano Berti, Alberto Maspero, Federico Murgante, “Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves”, Regul. Chaotic Dyn., 28:4-5 (2023), 543–560
Citation in format AMSBIB
\Bibitem{BerMasMur23}
\by Massimiliano Berti, Alberto Maspero, Federico Murgante
\paper Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves
\jour Regul. Chaotic Dyn.
\yr 2023
\vol 28
\issue 4-5
\pages 543--560
\mathnet{http://mi.mathnet.ru/rcd1220}
\crossref{https://doi.org/10.1134/S1560354723040032}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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