Study of a family of higher order nonlocal degenerate parabolic equations: from the porous medium equation to the thin film equation

DOI10.1016/j.jde.2015.07.008zbMath1386.35240arXiv1503.06659OpenAlexW2964316805MaRDI QIDQ496728

Rana Tarhini

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06659

zbMATH Keywords

weak solutionsLaplace operatorSobolev embedding

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order parabolic equations (35K25) Positive solutions to PDEs (35B09)

Related Items (3)

Fractional higher order thin film equation with linear mobility: gradient flow approach ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ On a fractional thin film equation

Cites Work

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• On the motion of a small viscous droplet that wets a surface
• Singularity formation in Hele–Shaw bubbles
• The Motion with Slip of a Thin Viscous Droplet over a Solid Surface

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