A mapping of a generalisation of a thin film equation on a moving substrate

DOI10.1016/J.NA.2006.02.037zbMath1112.35009OpenAlexW2042633464MaRDI QIDQ876903

Ebrahim Momoniat

Publication date: 19 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.037

zbMATH Keywords

Lie group analysis

Mathematics Subject Classification ID

Thin fluid films (76A20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Higher-order parabolic equations (35K25)

Uses Software

• DIMSYM
• LIE

Cites Work

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• Group classification of fin equation with variable thermal properties
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• Group classification of three-dimensional boundary layer equations of a class of non-Newtonian fluids
• Moving boundary problems and non-uniqueness for the thin film equation
• High-Order Nonlinear Diffusion
• Waiting-Time Behavior in a Nonlinear Diffusion Equation
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
• A simple method for group analysis and its application to a model of detonation
• Thin Films with High Surface Tension
• Mathematical modelling of the motion of hard contact lenses
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• LIE, a PC program for Lie analysis of differential equations

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