Two-dimensional nonlinear advection-diffusion in a model of surfactant spreading on a thin liquid film

DOI10.1093/IMAMAT/66.1.55zbMath1004.76008OpenAlexW2091635192MaRDI QIDQ2707971

Harvey A. R. Williams, Oliver E. Jensen

Publication date: 4 April 2001

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/66.1.55

zbMATH Keywords

asymptotic solutionpoint sourcesimilarity solutionsthin liquid filmtail regionnonlinear advection-diffusion equationadvective regiondilute insoluble surfactantsource concentrationspreading asymmetric monolayer

Mathematics Subject Classification ID

Thin fluid films (76A20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Diffusion and convection (76R99)

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