The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation

DOI10.1073/pnas.94.19.10024zbMath0893.76016OpenAlexW1984148820WikidataQ36578706 ScholiaQ36578706MaRDI QIDQ4363765

Grigory Isaakovich Barenblatt, Elena Beretta, Michiel Bertsch

Publication date: 12 November 1997

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.94.19.10024

zbMATH Keywords

self-similar solutionsfree boundary problemfourth-order equationno-slip conditionautonomy principlegently sloping films

Mathematics Subject Classification ID

Lubrication theory (76D08) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

Related Items (6)

Droplet spreading: Intermediate scaling law by PDE methods ⋮ Singular limit of an energy minimizer arising from dewetting thin film model with Van der waal, born repulsion and surface tension forces ⋮ Nonlinear higher-order boundary value problems describing thin viscous flows near edges ⋮ Steady and quasi-steady thin viscous flows near the edge of a solid surface ⋮ Boundary spike of the singular limit of an energy minimizing problem ⋮ How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?

Cites Work

• Unnamed Item
• Higher order nonlinear degenerate parabolic equations
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Source type solutions of a fourth order nonlinear degenerate parabolic equation
• On the motion of a small viscous droplet that wets a surface
• Moving contact lines in liquid/liquid/solid systems
• The Motion with Slip of a Thin Viscous Droplet over a Solid Surface
• On the motion of a fluid-fluid interface along a solid surface
• Apparent dynamic contact angle of an advancing gas–liquid meniscus

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