Shear-thinning liquid films: macroscopic and asymptotic behaviour by quasi-self-similar solutions

DOI10.1088/0951-7715/15/6/318zbMath1023.35014OpenAlexW2075123276MaRDI QIDQ4796809

Lidia Ansini, Lorenzo Giacomelli

Publication date: 24 March 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/6/318

zbMATH Keywords

long-time behavioureffective contact anglesno-slip paradox

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) Thin fluid films (76A20) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Capillarity (surface tension) for incompressible viscous fluids (76D45) Initial value problems for higher-order parabolic equations (35K30)

Related Items (11)

Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid ⋮ Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability ⋮ Long-Time Behavior and Stability for Quasilinear Doubly Degenerate Parabolic Equations of Higher Order ⋮ Doubly nonlinear thin-film equations in one space dimension ⋮ Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents ⋮ Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Local strong solutions to a quasilinear degenerate fourth-order thin-film equation ⋮ Thin-film equations with singular potentials: an alternative solution to the contact-line paradox ⋮ Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting ⋮ Nonlinear higher-order boundary value problems describing thin viscous flows near edges ⋮ Surface-tension-driven dewetting of Newtonian and power-law fluids

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