Asymmetric travelling waves for the thin film equation

DOI10.1016/j.jmaa.2013.03.047zbMath1322.35050OpenAlexW2051930529MaRDI QIDQ488674

Roman M. Taranets, John R. King

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.047

zbMATH Keywords

free boundary problemlower and upper boundsthin filmsasymmetric traveling wavesstability of traveling waves

Mathematics Subject Classification ID

Thin fluid films (76A20) Free boundary problems for PDEs (35R35) Higher-order parabolic equations (35K25) Traveling wave solutions (35C07)

Related Items (1)

Travelling wave solutions for a thin-film equation related to the spin-coating process

Cites Work

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• Higher order nonlinear degenerate parabolic equations
• Smooth zero-contact-angle solutions to a thin-film equation around the steady state
• A Picard method without Lipschitz continuity for some ordinary differential equations
• The third-order differential equation arising in thin-film flows and relevant to Tanner's law
• Some existence theorems for \(n\)-th order boundary value problems
• Rigorous lubrication approximation
• Dynamics of three-dimensional thin film rupture
• Droplet spreading under weak slippage: The optimal asymptotic propagation rate in the multi-dimensional case.
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• A third order equation arising in the falling film
• Lubrication models with small to large slip lengths
• Surface-tension-driven dewetting of Newtonian and power-law fluids
• Thin-film equations with ``partial wetting energy: Existence of weak solutions
• On nontrivial traveling waves in thin film flows including contact lines
• A Free Boundary Problem of Fourth Order: Classical Solutions in Weighted Hölder Spaces
• Thin-film modelling of poroviscous free surface flows
• Selfsimilar blowup of unstable thin-film equations
• Comparison of two dynamic contact line models for driven thin liquid films
• Linear stability of a ridge
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• Similarity solutions for van der Waals rupture of a thin film on a solid substrate
• Source type solutions of a fourth order nonlinear degenerate parabolic equation
• On the motion of a small viscous droplet that wets a surface
• Lubrication approximation with prescribed nonzero contact anggle
• The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions
• Thin Film Traveling Waves and the Navier Slip Condition
• Dipoles and similarity solutions of the thin film equation in the half-line
• Unstable sixth-order thin film equation: I. Blow-up similarity solutions
• Unstable sixth-order thin film equation: II. Global similarity patterns
• Small- and Waiting-Time Behavior of the Thin-Film Equation
• Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves
• Linear stability and transient growth in driven contact lines
• Source-type solutions of the fourth-order unstable thin film equation

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