Perturbation theory of parametrically driven capillary waves at low viscosity

DOI10.1017/S0022112097007210zbMath0903.76024OpenAlexW2078360272MaRDI QIDQ4382495

Preben Alstrøm, Per Lyngs Hansen

Publication date: 6 January 1999

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112097007210

zbMATH Keywords

pattern formationamplitude equationsHamiltonian perturbation theorynonlinear coefficientsLagrangian theoriessquare patterneightfold quasi-crystalline patternstanding wave analysis

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Hydrodynamic stability (76E99) Waves for incompressible viscous fluids (76D33)

Related Items (5)

Standing wave description of nearly conservative, parametrically driven waves in extended systems ⋮ Resonant triad dynamics in weakly damped Faraday waves with two-frequency forcing ⋮ Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio ⋮ Bound states of topological defects in parametrically excited capillary ripples ⋮ Convergence properties of the 8, 10 and 12 mode representations of quasipatterns

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