Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves

DOI10.4171/IFB/224zbMath1191.35273arXiv0812.0071OpenAlexW2056601877MaRDI QIDQ962976

Pietro Baldi, John F. Toland

Publication date: 8 April 2010

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0071

zbMATH Keywords

travelling wavesnonlinear elasticityLyapunov-Schmidt reductionfree boundary problemsbifurcation theorysymmetry-breakinghydroelastic wavessecondary bifurcationhydrodynamics wavesWilton riples

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Free-surface potential flows for incompressible inviscid fluids (76B07) Traveling wave solutions (35C07)

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