A singularly perturbed problem related to surfactant spreading on thin films

DOI10.1016/0362-546X(95)00062-ZzbMath0862.35091MaRDI QIDQ4883597

Michael Renardy

Publication date: 5 September 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

thin filmshock structureeffects of gravity, van der Waals forces and mean surface tension

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Shock waves and blast waves in fluid mechanics (76L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (9)

Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant ⋮ Simulating surfactant spreading: Influence of a physically motivated equation of state ⋮ Global existence of solutions to a tear film model with locally elevated evaporation rates ⋮ Unraveling surfactant transport on a thin liquid film ⋮ Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants ⋮ Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves ⋮ Undercompressive shocks in thin film flows. ⋮ Thin film equations with soluble surfactant and gravity: Modeling and stability of steady states ⋮ Existence of Solutions Describing Accumulation in a Thin-Film Flow

Cites Work

• Unnamed Item
• Steady solutions of the Kuramoto-Sivashinsky equation
• Monolayer flow on a thin film
• Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture
• On an equation describing the spreading of surfactants on thin films

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