Stability of periodic gravity waves in the presence of surface tension
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Publication:464062
DOI10.1016/j.euromechflu.2014.02.010zbMath1297.76028arXiv1505.03688OpenAlexW2086533538MaRDI QIDQ464062
Olga Trichtchenko, Bernard Deconinck
Publication date: 17 October 2014
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.03688
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items (13)
Stability of waves on fluid of infinite depth with constant vorticity ⋮ The instability of Wilton ripples ⋮ Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves ⋮ The stability of capillary waves on fluid sheets ⋮ Investigation of symmetry breaking in periodic gravity–capillary waves ⋮ Numerical Simulations of Overturned Traveling Waves ⋮ A Hybrid Analytical-Numerical Technique for Elliptic PDEs ⋮ Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations ⋮ Stability of periodic traveling flexural‐gravity waves in two dimensions ⋮ Water waves with moving boundaries ⋮ The Nonlocal Ablowitz--Fokas--Musslimani Water-Wave Method for Cylindrical Geometry ⋮ Wilton ripples in weakly nonlinear models of water waves: existence and computation ⋮ Modulational instabilities of periodic traveling waves in deep water
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Cites Work
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- On the stability of weakly-nonlinear gravity-capillary waves
- Numerical simulation of gravity waves
- Computing spectra of linear operators using the Floquet-Fourier-Hill method
- Introduction to spectral theory. With applications to Schrödinger operators
- Transverse instability of gravity-capillary solitary waves
- Convergence of Hill's Method for Nonselfadjoint Operators
- The instability of periodic surface gravity waves
- Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues
- Capillary–gravity waves of solitary type and envelope solitons on deep water
- Linear stability of finite-amplitude capillary waves on water of infinite depth
- Dynamics of steep two-dimensional gravity–capillary solitary waves
- An exact solution for progressive capillary waves of arbitrary amplitude
- Gravity–Capillary Free-Surface Flows
- On the convergence of Hill’s method
- Stability of water waves
- Instabilities of finite-amplitude water waves
- The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
- The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
- The deformation of steep surface waves on water - I. A numerical method of computation
- An Introduction to Fluid Dynamics
- Spectral Stability of Deep Two‐Dimensional Gravity‐Capillary Water Waves
- On the stability of solitary waves with decaying oscillatory tails
- Pressure beneath a Stokes wave
- Traveling Waves in Deep Water with Gravity and Surface Tension
- On a new non-local formulation of water waves
- Three-dimensional instabilities of periodic gravity waves in shallow water
- The disintegration of wave trains on deep water Part 1. Theory
- Non-linear dispersion of water waves
- Nonlinear three-dimensional gravity–capillary solitary waves
- T<scp>HE</scp> O<scp>RIGINS OF</scp> W<scp>ATER</scp> W<scp>AVE</scp> T<scp>HEORY</scp>
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