Global Bifurcation of Capillary-Gravity Water Waves With Overhanging Profiles and Arbitrary Vorticity

DOI10.1093/IMRN/RNAC280arXiv2109.06070OpenAlexW3199436616MaRDI QIDQ6182589

Jörg Weber, Erik Wahlén

Publication date: 25 January 2024

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06070

zbMATH Keywords

conformal mappingSturm-Liouville operatortransversality conditionlocal bifurcationDirichlet spectrummodified Bernoulli equation

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) Hydrodynamic stability (76E99) Complex variables methods applied to problems in fluid mechanics (76M40)

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