Quasipatterns in a parametrically forced horizontal fluid film

DOI10.1016/j.physd.2012.04.011zbMath1432.35022OpenAlexW2035686609WikidataQ61950102 ScholiaQ61950102MaRDI QIDQ453123

Gérard Iooss, Médéric Argentina

Publication date: 18 September 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://hal.univ-cotedazur.fr/hal-01265170/file/Arg-Io.pdf

zbMATH Keywords

normal formsbifurcationsFaraday instabilityviscous flowsquasipattern

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Thin fluid films (76A20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Parametric resonances for nonlinear problems in mechanics (70K28) Pattern formations in context of PDEs (35B36)

Related Items (6)

Small divisor problems in fluid mechanics ⋮ Spatially quasi-periodic solutions of the Euler equation ⋮ Existence of quasipattern solutions of the Swift-Hohenberg equation ⋮ Proof of quasipatterns for the Swift-Hohenberg equation ⋮ Existence of quasipatterns in the superposition of two hexagonal patterns ⋮ Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices

Cites Work

• On the existence of quasipattern solutions of the Swift-Hohenberg equation
• Convergence properties of the 8, 10 and 12 mode representations of quasipatterns
• Numerical simulation of Faraday waves
• Design of Parametrically Forced Patterns and Quasipatterns
• Nonlinear Faraday resonance
• Square patterns and secondary instabilities in driven capillary waves
• Pattern formation in weakly damped parametric surface waves driven by two frequency components
• Pattern formation in weakly damped parametric surface waves
• Patterns of Faraday waves
• On Faraday waves
• Linear theory of Faraday instability in viscous liquids
• Parametric instability of the interface between two fluids
• Pattern Selection for Faraday Waves in an Incompressible Viscous Fluid
• The stability of the plane free surface of a liquid in vertical periodic motion

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