Steady periodic water waves under nonlinear elastic membranes

DOI10.1515/CRELLE.2011.015zbMath1277.35281arXiv0805.0544OpenAlexW1967959372MaRDI QIDQ5391712

Pietro Baldi, John F. Toland

Publication date: 7 April 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0544

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Boundary value problems in the complex plane (30E25) Membranes (74K15) Traveling wave solutions (35C07)

Related Items (12)

Riemann-Hilbert-type boundary value problems on a half hexagon ⋮ Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits ⋮ Energy-minimising parallel flows with prescribed vorticity distribution ⋮ Non-existence of global energy minimisers in Stokes waves problems ⋮ Single periodic Riemann problems for null-solutions to polynomially Cauchy–Riemann equations ⋮ A Riemann-Hilbert boundary value problem in a triangle ⋮ Surface waves on steady perfect-fluid flows with vorticity ⋮ Steady periodic hydroelastic waves ⋮ Periodic traveling interfacial hydroelastic waves with or without mass ⋮ Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc ⋮ Periodic travelling interfacial hydroelastic waves with or without mass II: Multiple bifurcations and ripples ⋮ Riemann boundary value problem for doubly periodic polyanalytic functions

Cites Work

• Steady periodic hydroelastic waves
• Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves
• Stokes waves in Hardy spaces and as distributions
• Heavy hydroelastic travelling waves

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