Small- and Waiting-Time Behavior of the Thin-Film Equation

DOI10.1137/060667682zbMath1178.35388OpenAlexW2017258417MaRDI QIDQ5432385

John R. King, James F. Blowey, Stephen Langdon

Publication date: 3 January 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://centaur.reading.ac.uk/926/1/066768.pdf

zbMATH Keywords

interfacethin-filmwaiting-timenonlinear degenerate parabolic

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Moving boundary problems for PDEs (35R37)

Related Items (9)

Uniqueness of the regular waiting-time type solution of the thin film equation ⋮ Behaviour of free boundaries in thin-film flow: the regime of strong slippage and the regime of very weak slippage ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ The interface dynamics of a surfactant drop on a thin viscous film ⋮ Qualitative analysis of coating flows on a rotating horizontal cylinder ⋮ Upper bounds on waiting times for the thin-film equation: the case of weak slippage ⋮ Asymmetric travelling waves for the thin film equation ⋮ The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations ⋮ On qualitative behaviour of solutions to a thin film equation with a source term

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