Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth

DOI10.1016/J.AML.2020.106609zbMath1450.35081OpenAlexW3037328303MaRDI QIDQ2006312

Chein-Shan Liu, Hui Tang, Yitong Ma

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106609

zbMATH Keywords

blow-up ratelower bound of blow-up time

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Thin films (74K35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (6)

Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm ⋮ Grow-up of weak solutions in a \(p\)-Laplacian pseudo-parabolic problem ⋮ Finite difference schemes for the fourth‐order parabolic equations with different boundary value conditions ⋮ Well‐posedness and asymptotic behavior for a p‐biharmonic pseudo‐parabolic equation with logarithmic nonlinearity of the gradient type ⋮ Blow-up phenomena for a class of fourth order parabolic equation ⋮ Well-posedness and finite-time singularity of solutions in a 4th-order parabolic equation

Cites Work

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• Blow up for a fourth order hyperbolic equation with the logarithmic nonlinearity
• Bounds for the lifespan of solutions to fourth-order hyperbolic equations with initial data at arbitrary energy level
• Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• The existence of global attractor for a fourth-order parabolic equation

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