The effective boundary conditions and their lifespan of the logistic diffusion equation on a coated body

DOI10.1016/j.jde.2014.07.004zbMath1302.35198OpenAlexW2094660796MaRDI QIDQ743872

Yanxia Wu, Huicong Li, Xuefeng Wang

Publication date: 1 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2014.07.004

zbMATH Keywords

lifespananisotropic diffusion tensor

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44)

Related Items (6)

Lifespan of effective boundary conditions for the heat equation ⋮ Bulk-surface coupling: derivation of two models ⋮ Using effective boundary conditions to model fast diffusion on a road in a large field ⋮ Error estimates and lifespan of effective boundary conditions for 2-dimensional optimally aligned coatings ⋮ Fast reaction limit of a volume–surface reaction–diffusion system towards a heat equation with dynamical boundary conditions ⋮ Effective boundary conditions of the heat equation on a body coated by functionally graded material

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• Corrigendum: Suppression of the Dirichlet Eigenvalues of a Coated Body
• Asymptotic analysis of a Dirichlet problem for the heat equation on a coated body
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• Anisotropic diffusion in oriented environments can lead to singularity formation

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