On the Secondary Bifurcation of Three-Dimensional Standing Waves

DOI10.1137/0147003zbMath0612.76014OpenAlexW1970819918MaRDI QIDQ3753648

Thomas J. Bridges

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0147003

zbMATH Keywords

periodic solutionseigenvaluesperturbation methodlinearized problembifurcation pointssloshingnonlinear standing waveirregular wavesDuffing's equationsecondary bifurcationshell bucklingfluid filled vesselnonlinear solution branches

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

Related Items (3)

Secondary bifurcation and change of type for three-dimensional standing waves in finite depth ⋮ MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK I: A SINGLE-DOMINANT MODEL ⋮ Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finite fluid depth

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