Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations

DOI10.1016/J.JDE.2024.08.005MaRDI QIDQ6632967

Anna-Mariya Otsetova, Erik Wahlén, Jörg Weber

Publication date: 5 November 2024

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

zbMATH Keywords

constant mean curvatureelliptic integralglobal implicit function theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Bifurcation theory. An introduction with applications to partial differential equations
• The surfaces of Delaunay
• On the existence of global vortex rings
• Elliptic functions and applications
• Vortex Dynamics
• Axisymmetric capillary waves.
• Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl

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