Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves
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Publication:5438190
DOI10.1017/S0956792507007218zbMath1137.76011MaRDI QIDQ5438190
Rachel Levy, Michael Shearer, Thomas P. Witelski
Publication date: 23 January 2008
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Thin fluid films (76A20) Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)
Related Items (16)
Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant ⋮ Simulating surfactant spreading: Influence of a physically motivated equation of state ⋮ Travelling waves in dilatant non-Newtonian thin films ⋮ An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension ⋮ Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution ⋮ Linear stability and nonlinear dynamics in a long-wave model of film flows inside a tube in the presence of surfactant ⋮ Asymmetric travelling waves for the thin film equation ⋮ An adaptive moving mesh method for thin film flow equations with surface tension ⋮ Mathematical modeling and numerical simulation of wave-front flow on a vertical wall with surfactant effects ⋮ Interplay of substrate wettability and surfactant distributions in controlling interfacial instability ⋮ On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces ⋮ Spectral Analysis of Fronts in a Marangoni-Driven Thin Liquid Film Flow Down a Slope ⋮ Dynamics and equilibria of thin viscous coating films on a rotating sphere ⋮ Thin film equations with soluble surfactant and gravity: Modeling and stability of steady states ⋮ Travelling wave solutions in dilatant non-Newtonian thin films with second-order viscosity ⋮ Stability of front solutions in a model for a surfactant driven flow on an inclined plane
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