Anomalous Exponents and Dipole Solutions for the Thin Film Equation

DOI10.1137/S0036139900366936zbMath1001.35074OpenAlexW2005866727MaRDI QIDQ2783705

Josephus Hulshof, John R. King, Mark Bowen

Publication date: 17 April 2002

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139900366936

zbMATH Keywords

moving boundary problemsimilarity solutionsdipolesmodified Poincaré transformation

Mathematics Subject Classification ID

Thin fluid films (76A20) Degenerate parabolic equations (35K65) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Higher-order parabolic equations (35K25)

Related Items (6)

Nonlinear dynamics of dewetting thin films ⋮ Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction ⋮ Steady and quasi-steady thin viscous flows near the edge of a solid surface ⋮ Pressure-dipole solutions of the thin-film equation ⋮ Very Singular Solutions for Thin Film Equations with Absorption

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