An existence theory for gravity-capillary solitary water waves
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Publication:2063897
DOI10.1007/s42286-020-00045-7zbMath1486.76017OpenAlexW3133385259MaRDI QIDQ2063897
Publication date: 3 January 2022
Published in: Water Waves (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42286-020-00045-7
existenceFourier analysisfixed-point argumentZakharov-Craig-Sulem formulationsymmetric solitary wavetravelling water wave equation
PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25)
Related Items
Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth, Special issue dedicated to Walter Craig
Cites Work
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- Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
- Numerical simulation of gravity waves
- On the existence and conditional energetic stability of solitary water waves with weak surface tension
- A theory of solitary water-waves in the presence of surface tension
- On the existence of small amplitude solitary waves with strong surface tension
- Lectures on nonlinear hyperbolic differential equations
- Existence and conditional energetic stability of capillary-gravity solitary water waves by minimisation
- Small amplitude traveling waves in the full-dispersion Whitham equation
- Conditional energetic stability of gravity solitary waves in the presence of weak surface tension
- A new approach to analyticity of Dirichlet-Neumann operators
- On the evolution of packets of water waves
- On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type
- Existence and conditional energetic stability of solitary gravity–capillary water waves with constant vorticity
- Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
- The solitary wave with surface tension
