Stability and regularity of weak solutions for a generalized thin film equation

DOI10.1016/j.jmaa.2007.03.075zbMath1124.35025OpenAlexW2021567002MaRDI QIDQ2382684

Meng Xu, Shu Lin Zhou

Publication date: 2 October 2007

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.2007.03.075

zbMATH Keywords

regularityStabilityerrorfourth-orderhigher regularity results

Mathematics Subject Classification ID

Related Items (8)

A thin film equation with a singular diffusion ⋮ Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents ⋮ Positive solutions to a nonlinear fourth-order partial differential equation ⋮ On a double degenerate fourth-order parabolic equation ⋮ Existence of solutions to a doubly degenerate fourth-order parabolic equation ⋮ Mathematical analysis to a nonlinear fourth-order partial differential equation ⋮ Numerical investigations on self-similar solutions of the nonlinear diffusion equation ⋮ STUDY OF SOLUTIONS TO A FOURTH ORDER PARABOLIC EQUATION∗

Cites Work

• Two generalizations of the thin film equation
• Linear stability of source-type similarity solutions of the thin film equation
• Existence and uniqueness of weak solutions for a generalized thin film equation
• A generalized thin film equation
• Existence and uniqueness of global solutions for the parabolic equation of the bi-harmonic type.
• Thin Films with High Surface Tension
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
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