Selfsimilar source solutions of a fourth order degenerate parabolic equation

DOI10.1016/S0362-546X(97)81321-1zbMath0879.35083OpenAlexW1976766643MaRDI QIDQ4346030

Elena Beretta

Publication date: 22 December 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)81321-1

zbMATH Keywords

selfsimilar solution with compact support

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order parabolic equations (35K30)

Related Items (5)

Existence and regularity of source-type self-similar solutions for stable thin-film equations ⋮ Singular limit of an energy minimizer arising from dewetting thin film model with Van der waal, born repulsion and surface tension forces ⋮ Nonlinear higher-order boundary value problems describing thin viscous flows near edges ⋮ Blow-up with mass concentration for the long-wave unstable thin-film equation ⋮ Boundary spike of the singular limit of an energy minimizing problem

Cites Work

• Higher order nonlinear degenerate parabolic equations
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• A nonlinear singular boundary value problem
• Source type solutions of a fourth order nonlinear degenerate parabolic equation
• On the motion of a small viscous droplet that wets a surface
• The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions
• Explicit Lie-Poisson integration and the Euler equations

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