A normal form of thin fluid film equations resolves the transient paradox

DOI10.1016/j.physd.2006.08.018zbMath1102.35336OpenAlexW2057915533MaRDI QIDQ857172

Anthony Roberts

Publication date: 14 December 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://eprints.usq.edu.au/7525/2/Roberts_PhysicaD_2006_AV.pdf

zbMATH Keywords

normal forminitial conditionsslow manifoldthin fluid filmlubrication modeldynamical systems approach

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Thin fluid films (76A20) Higher-order parabolic equations (35K25)

Related Items

The inertial dynamics of thin film flow of non-Newtonian fluids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Contact-line fingering and rivulet formation in the presence of surface contamination
• A simple global characterization for normal forms of singular vector fields
• Perturbation methods, bifurcation theory and computer algebra
• Applications of centre manifold theory
• Isochrons and phaseless sets
• Low-dimensional modelling of dynamics via computer algebra
• A mathematical model for drying paint layers
• Rigorous lubrication approximation
• Modeling of coating flows on curved surfaces
• Initial conditions for models of dynamical systems
• Use of symbolic computation to generate evolution equations and asymptotic solutions to elliptic equations
• Unsteady spreading of thin liquid films with small surface tension
• The dynamics of a localized surfactant on a thin film
• Boundary conditions for approximate differential equations
• On the motion of a small viscous droplet that wets a surface
• On the foundations of generalized Taylor dispersion theory
• Drop formation during coating of vertical fibres
• A lubrication model of coating flows over a curved substrate in space
• The thin liquid lining of a weakly curved cylindrical tube
• Normal Forms and Unfoldings for Local Dynamical Systems
• The Accurate Dynamic Modelling of Contaminant Dispersion in Channels
• An accurate and comprehensive model of thin fluid flows with inertia on curved substrates
• Elements of applied bifurcation theory