Stability of periodic gravity waves in the presence of surface tension

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

zbMATH Keywords

stabilitygravitysurface tensionwater waves

Mathematics Subject Classification ID

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

Uses Software

• MATCONT
• AUTO
• HomCont

Cites Work

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