The generalized thin film equation with periodic-domain conditions

DOI10.1016/j.aml.2007.02.014zbMath1134.35068OpenAlexW1976295896MaRDI QIDQ2472829

Mohammed Boutat, Saïd Hilout, Jean Michel Rakotoson, J. Emile Rakotoson

Publication date: 25 February 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.02.014

zbMATH Keywords

nonnegative solutionfinite speed of propagationhigher space dimensions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Degenerate parabolic equations (35K65)

Related Items (1)

Finite speed of propagation and algebraic time decay of solutions to a generalized thin film equation

Cites Work

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• Higher order nonlinear degenerate parabolic equations
• Higher order equations related to thin films: Blow-up and global existence, the influence of the initial data
• A generalized thin-film equation in multidimensional space
• Infinite-dimensional dynamical systems in mechanics and physics
• Two generalizations of the thin film equation
• The thin viscous flow equation in higher space dimensions
• THE THIN FILM EQUATION WITH NONLINEAR DIFFUSION
• On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
• An optimal compactness theorem and application to elliptic-parabolic systems

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