Steady and quasi-steady thin viscous flows near the edge of a solid surface

DOI10.1017/S0956792510000124zbMath1330.76042OpenAlexW1989531427MaRDI QIDQ3564339

Lorenzo Giacomelli, Grigory Isaakovich Barenblatt, Michiel Bertsch

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1017/s0956792510000124

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (1)

Nonlinear higher-order boundary value problems describing thin viscous flows near edges

Cites Work

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• The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation
• The self-similar solution for draining in the thin film equation
• Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem
• Properties of steady states for thin film equations
• On the motion of a fluid-fluid interface along a solid surface
• Dipoles and similarity solutions of the thin film equation in the half-line

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