Source-type solutions to thin-film equations: The critical case

DOI10.1016/S0893-9659(99)00100-7zbMath0941.35040OpenAlexW2059902847MaRDI QIDQ1961723

Francisco Bernis, Raúl Ferreira

Publication date: 3 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00100-7

zbMATH Keywords

rescaled limiting profile

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)

Related Items (6)

Capillarity driven spreading of power-law fluids ⋮ Existence and asymptotic behavior of solutions to a thin film equation with Dirichlet boundary ⋮ Mathematical analysis to a nonlinear fourth-order partial differential equation ⋮ Capillarity driven spreading of circular drops of shear-thinning fluid ⋮ Spreading of a charged microdroplet ⋮ Linear stability of source-type similarity solutions of the thin film equation

Cites Work

• Unnamed Item
• Source type solutions of a fourth order nonlinear degenerate parabolic equation
• Source-type solutions to thin-film equations in higher dimensions

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