The Thin Film Equation with Non-Zero Contact Angle: A Singular Perturbation Approach
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Publication:5246639
DOI10.1080/03605302.2014.895380zbMath1323.35063OpenAlexW2063242248MaRDI QIDQ5246639
Publication date: 21 April 2015
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2014.895380
PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Higher-order parabolic equations (35K25)
Related Items (12)
Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Stability of Serrin's Problem and Dynamic Stability of a Model for Contact Angle Motion ⋮ Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ The Cox–Voinov law for traveling waves in the partial wetting regime* ⋮ Convergence of a One-Dimensional Cahn--Hilliard Equation with Degenerate Mobility ⋮ Existence of Positive Solutions to Stochastic Thin-Film Equations ⋮ Global existence for a thin film equation with subcritical mass ⋮ The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness ⋮ Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting and linear mobility ⋮ Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise ⋮ Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
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