On the Hamiltonian structure of the planar steady water-wave problem with vorticity

DOI10.1016/J.CRMA.2014.01.006zbMath1298.35144OpenAlexW2009584505MaRDI QIDQ2445185

Athanasios N. Stylianou, Mark D. Groves

Publication date: 14 April 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.01.006

zbMATH Keywords

vorticityHamiltonian structuresteady rotational water waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

Related Items (3)

Small-amplitude steady water waves with critical layers: non-symmetric waves ⋮ On the Benjamin–Lighthill conjecture for water waves with vorticity ⋮ Solitary waves on constant vorticity flows with an interior stagnation point

Cites Work

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• Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity
• Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems
• On variational formulations for steady water waves
• The Stokes conjecture for waves with vorticity
• Steady water waves with vorticity: spatial Hamiltonian structure
• Spatial Dynamics Methods for Solitary Gravity-Capillary Water Waves with an Arbitrary Distribution of Vorticity
• Uniformly travelling water waves from a dynamical systems viewpoint: some insights into bifurcations from Stokes’ family
• Verification of the Benjamin–Lighthill conjecture about steady water waves

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