Time quasi-periodic traveling gravity water waves in infinite depth

DOI10.4171/RLM/919zbMath1468.76013arXiv2011.12794MaRDI QIDQ2039128

Roberto Feola, Filippo Giuliani

Publication date: 2 July 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.12794

zbMATH Keywords

Birkhoff normal formNash-Moser schemequasi-linear equationresonant equationelliptic fixed point argumentquasi-periodic solution existence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

About linearization of infinite-dimensional Hamiltonian systems ⋮ Benjamin-Feir instability of Stokes waves in finite depth ⋮ Time quasi-periodic vortex patches of Euler equation in the plane ⋮ Stokes waves at the critical depth are modulationally unstable ⋮ Quasi-Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity ⋮ Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori ⋮ Full description of Benjamin-Feir instability of Stokes waves in deep water

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