Symmetries, first integrals and phase planes of a third-order ordinary differential equation from thin film flow

DOI10.1016/j.mcm.2007.06.034zbMath1175.34047OpenAlexW2085837250WikidataQ115343469 ScholiaQ115343469MaRDI QIDQ2389888

Ebrahim Momoniat

Publication date: 20 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.06.034

zbMATH Keywords

thin filmfirst integralLie point symmetrieslubrication equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Thin fluid films (76A20)

Related Items (8)

Embedded explicit Runge-Kutta type methods for directly solving special third order differential equations \(y = f(x, y)\) ⋮ Phase plane analysis and traveling wave solution of third order nonlinear singular problems arising in thin film evolution ⋮ Numerical investigation of a third-order ODE from thin film flow ⋮ A nonlinear eigenvalue problem from thin-film flow ⋮ On the determination of the steady film profile for a non-Newtonian thin droplet ⋮ An investigation of an Emden-Fowler equation from thin film flow ⋮ Computer simulation of third‐order nonlinear singular problems arising in draining and coating flows ⋮ A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems

Uses Software

• DIMSYM
• LIE

Cites Work

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• Domain of convergence of perturbative solutions for Hele-Shaw flow near interface collapse
• SLIDING AND SPREADING OF THIN TWO-DIMENSIONAL DROPS
• Solutions of Third-Order Differential Equations Relevant to Draining and Coating Flows
• On the motion of a small viscous droplet that wets a surface
• Thin Films with High Surface Tension
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• The Motion with Slip of a Thin Viscous Droplet over a Solid Surface
• Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations
• A Basis of Conservation Laws for Partial Differential Equations
• Phase-Plane Analysis of Nonlinear, Second-Order, Ordinary Differential Equations
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Instabilities and singularities in Hele–Shaw flow
• LIE, a PC program for Lie analysis of differential equations

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