The regularity and local bifurcation of steady periodic water waves

DOI10.1007/s002050000086zbMath0959.76010OpenAlexW2017558133MaRDI QIDQ1570982

John F. Toland, E. Norman Dancer, Boris Buffoni

Publication date: 26 April 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050000086

zbMATH Keywords

eigenvalue Hilbert transform surface tension linearized problem turning points Stokes waves non-local operator water of infinite depth existence of small amplitude waves nonlinear pseudo-differential operator equation steady periodic water waves sub-harmonic bifurcations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17)

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