Bifurcation structure and stability of steady gravity water waves with constant vorticity

DOI10.1016/j.jde.2022.06.006zbMath1491.35023OpenAlexW4281611960MaRDI QIDQ2148945

Feng-Quan Li, Guowei Dai, Yong Zhang

Publication date: 24 June 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.06.006

zbMATH Keywords

stability propertiesconstant vorticityStokes wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32)

Related Items (3)

Global bifurcation structure and some properties of steady periodic water waves with vorticity ⋮ Stability properties of nontrivial periodic water waves for fixed-depth rotational equatorial flows ⋮ Periodic capillary-gravity water waves of small amplitude

Cites Work

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• Global bifurcation of steady gravity water waves with critical layers
• Bifurcation from simple eigenvalues
• Stability properties of steady water waves with vorticity
• Existence and conditional energetic stability of solitary gravity–capillary water waves with constant vorticity
• Periodic solutions of the KdV equation
• On the existence theory for irrotational water waves
• The disintegration of wave trains on deep water Part 1. Theory
• On the theory of steady-state waves of finite amplitude
• Bifurcation Theory for Analytic Operators

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