No solitary waves in 2D gravity and capillary waves in deep water

DOI10.1088/1361-6544/ab95adzbMath1459.76029arXiv1808.07916OpenAlexW3184446804MaRDI QIDQ5136498

Daniel Tataru, Mihaela Ifrim

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07916

zbMATH Keywords

regularitynon-existenceholomorphic conformal coordinatesinfinite depth water wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items

Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics ⋮ No Pure Capillary Solitary Waves Exist in 2D Finite Depth ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Benjamin-Feir instability of Stokes waves in finite depth ⋮ The wave stability of solitary waves over a bump for the full Euler equations ⋮ Nonexistence of subcritical solitary waves ⋮ A Morawetz inequality for gravity-capillary water waves at low bond number

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