Existence by minimisation of solitary water waves on an ocean of infinite depth

DOI10.1016/j.anihpc.2003.06.003zbMath1109.76013OpenAlexW1968743394MaRDI QIDQ1888396

Boris Buffoni

Publication date: 23 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_4_503_0

zbMATH Keywords

solitary wavesvariational methodsCapillary-gravity water waves

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Initial value problems for PDEs with pseudodifferential operators (35S10)

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On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water ⋮ No Pure Capillary Solitary Waves Exist in 2D Finite Depth ⋮ No solitary waves in 2D gravity and capillary waves in deep water ⋮ Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem

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