Existence and conditional energetic stability of solitary gravity–capillary water waves with constant vorticity

DOI10.1017/S0308210515000116zbMath1327.76029arXiv1307.0028OpenAlexW3102662499MaRDI QIDQ3452145

Erik Wahlén, Mark D. Groves

Publication date: 18 November 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0028

zbMATH Keywords

solitary wavesvorticitycalculus of variationswater waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (10)

Orbital stability of internal waves ⋮ Bifurcation structure and stability of steady gravity water waves with constant vorticity ⋮ Variational existence theory for hydroelastic solitary waves ⋮ The pressure boundary condition and the pressure as Lagrangian for water waves ⋮ A variational approach to solitary gravity-capillary interfacial waves with infinite depth ⋮ Solitary wave solutions to a class of modified Green-Naghdi systems ⋮ An existence theory for gravity-capillary solitary water waves ⋮ A variational principle for three-dimensional water waves over Beltrami flows ⋮ Orbital stability of solitary waves on a ferrofluid jet ⋮ Analyticity of rotational traveling capillary-gravity waves with critical layers

Cites Work

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• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
• Local bifurcation for steady periodic capillary water waves with constant vorticity
• A Hamiltonian formulation of water waves with constant vorticity
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• Spatial Dynamics Methods for Solitary Gravity-Capillary Water Waves with an Arbitrary Distribution of Vorticity
• Impulse, Flow Force and Variational Principles
• On the energetic stability of solitary water waves

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