Very Singular Solutions for Thin Film Equations with Absorption

DOI10.1111/j.1467-9590.2009.00461.xzbMath1333.35117arXiv0901.3982OpenAlexW2014857330MaRDI QIDQ5851122

Victor A. Galaktionov

Publication date: 21 January 2010

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

Full work available at URL: https://arxiv.org/abs/0901.3982

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thin films (74K35) Initial value problems for higher-order parabolic equations (35K30) Higher-order parabolic equations (35K25) Quasilinear parabolic equations (35K59)

Related Items (6)

Steady states and dynamics of a thin-film-type equation with non-conserved mass ⋮ Finite-time thin film rupture driven by modified evaporative loss ⋮ Strong solutions and trajectory attractors to the thin-film equation with absorption ⋮ The Cauchy problem for a tenth-order thin film equation. II: Oscillatory source-type and fundamental similarity solutions ⋮ Sharp-Interface Limits of the Cahn--Hilliard Equation with Degenerate Mobility ⋮ How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?

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