Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux

DOI10.2478/S13540-014-0162-8zbMath1312.35182OpenAlexW1973644914MaRDI QIDQ2347402

W. Edward Olmstead, Colleen M. Kirk

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-014-0162-8

zbMATH Keywords

blow-upnonlinear Volterra integral equationsfractional heat equationsubdiffusion

Mathematics Subject Classification ID

Volterra integral equations (45D05) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Fractional partial differential equations (35R11)

Related Items (4)

A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source ⋮ On the contributions of W. Edward Olmstead ⋮ A maximum principle for fractional diffusion differential equations ⋮ Thermal blow-up in a finite strip with superdiffusive properties

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