Phase Field Modeling of Nonequilibrium Patterns on the Surface of a Liquid Film Under Lateral Oscillations at the Substrate

DOI10.1142/S0218127414501107zbMath1301.76012MaRDI QIDQ2932618

Michael Bestehorn, Rodica Borcia

Publication date: 3 December 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

pattern formationself-organizationdiffuse interfacesinstabilities in liquid layers driven by vibrations at the solid boundary

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thin fluid films (76A20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Pattern formations in context of PDEs (35B36)

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Cites Work

• Stability of a fluid interface under tangential vibrations
• Numerical simulation of two-dimensional Faraday waves with phase-field modelling
• Wave formation in laminar flow down an inclined plane
• Numerical simulation of Faraday waves
• Finite-wavelength instability in a horizontal liquid layer on an oscillating plane
• Coarse-grained description of thermo-capillary flow
• Parametric instability of the interface between two fluids
• Pattern selection in a horizontally vibrated container
• Experimental and numerical study of miscible Faraday instability
• Instability of unsteady flows or configurations Part 1. Instability of a horizontal liquid layer on an oscillating plane
• Stability of Liquid Flow down an Inclined Plane
• The stability of the plane free surface of a liquid in vertical periodic motion

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