An existence theory for three-dimensional periodic travelling gravity-capillary water waves with bounded transverse profiles

DOI10.1016/S0167-2789(01)00182-8zbMath1037.76005OpenAlexW2135412969MaRDI QIDQ5940221

Mark D. Groves

Publication date: 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00182-8

zbMATH Keywords

parameter spacecentre-manifold reduction techniquecritical curvefinite-dimensional Hamiltonian systeminfinite-dimensional Hamiltonian systemtwo-dimensional Stokes wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Related Items

Three-dimensional gravity-capillary waves on water -- small surface tension case ⋮ Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves ⋮ Generalized pitchfork bifurcation on a two-dimensional gaseous star with self-gravity and surface tension ⋮ Steady Water Waves ⋮ Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem ⋮ On analyticity of travelling water waves ⋮ Asymmetrical three-dimensional travelling gravity waves ⋮ Existence theory of capillary-gravity waves on water of finite depth ⋮ The Existence of Three-Dimensional Multi-Hump Gravity-Capillary Surface Waves on Water of Finite Depth

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