Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film

DOI10.1137/040618400zbMath1301.76044OpenAlexW2019005251WikidataQ117202786 ScholiaQ117202786MaRDI QIDQ3446838

Mark Warner, Robert Nürnberg, John W. Barrett

Publication date: 26 June 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/639

zbMATH Keywords

convergence analysisexistenceiterative schemefourth-order degenerate parabolic system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

Finite element approximation of a three dimensional phase field model for void electromigration ⋮ Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source ⋮ Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants ⋮ A fully coupled mixed finite element method for surfactants spreading on thin liquid films ⋮ Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source ⋮ Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. I: Space convergence ⋮ Thin film equations with soluble surfactant and gravity: Modeling and stability of steady states

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