Propagation of support in one-dimensional convected thin-film flow

DOI10.1512/iumj.2005.54.2532zbMath1088.35050OpenAlexW2062114509MaRDI QIDQ5704309

Lorenzo Giacomelli, Andrey E. Shishkov

Publication date: 14 November 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2005.54.2532

zbMATH Keywords

wettinglubricationNewtonian viscous liquid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Initial value problems for nonlinear higher-order PDEs (35G25) Free boundary problems for PDEs (35R35)

Related Items (14)

On the regularity for the Navier-slip thin-film equation in the perfect wetting regime ⋮ Initial propagation of support in thin-film flow ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ Finite speed of propagation and algebraic time decay of solutions to a generalized thin film equation ⋮ The interface dynamics of a surfactant drop on a thin viscous film ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ Finite speed of propagation for thin viscous flows over an inclined plane ⋮ Self-Similar Lifting and Persistent Touch-Down Points in the Thin-Film Equation ⋮ Qualitative analysis of coating flows on a rotating horizontal cylinder ⋮ Well-posedness for the Navier-slip thin-film equation in the case of complete wetting ⋮ Upper bounds on waiting times for the thin-film equation: the case of weak slippage ⋮ Well-posedness for a class of thin-film equations with general mobility in the regime of partial wetting ⋮ The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness ⋮ Disappearance and global existence of interfaces for a doubly degenerate parabolic equation with variable coefficient

This page was built for publication: Propagation of support in one-dimensional convected thin-film flow