Droplet Spreading Under Weak Slippage: A Basic Result on Finite Speed of Propagation

DOI10.1137/S0036141002403298zbMath1035.35049MaRDI QIDQ4429850

Günther Grün

Publication date: 30 September 2003

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

zbMATH Keywords

thin filmsfourth order degenerate parabolic equationsmultiple space dimensionsNavier slippageStampacchia's iteration lemma

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Lubrication theory (76D08) Degenerate parabolic equations (35K65)

Related Items (14)

Droplet spreading under weak slippage: the waiting time phenomenon ⋮ Behaviour of free boundaries in thin-film flow: the regime of strong slippage and the regime of very weak slippage ⋮ Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions ⋮ The interface dynamics of a surfactant drop on a thin viscous film ⋮ Existence of Positive Solutions to Stochastic Thin-Film Equations ⋮ Qualitative analysis of coating flows on a rotating horizontal cylinder ⋮ On an unstable thin-film equation in multi-dimensional domains ⋮ Well-posedness for a class of thin-film equations with general mobility in the regime of partial wetting ⋮ Global existence for a thin film equation with subcritical mass ⋮ Numerical methods for fourth order nonlinear degenerate diffusion problems. ⋮ Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem ⋮ The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness ⋮ Pressure-dipole solutions of the thin-film equation ⋮ The Thin Film Equation with Non-Zero Contact Angle: A Singular Perturbation Approach

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