Critical speed for the avoidance of blow-up in a reactive-diffusive medium

DOI10.1007/s000330050059zbMath0884.35067OpenAlexW2026669437MaRDI QIDQ1371010

W. Edward Olmstead

Publication date: 10 March 1998

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000330050059

zbMATH Keywords

Neumann and Dirichlet boundary conditionsmoving concentrated heat source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (7)

Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source ⋮ Green's function homotopy perturbation method for the initial-boundary value problems ⋮ Recent results on blow-up and quenching for nonlinear Volterra equations ⋮ Single blow-up point and critical speed for a parabolic problem with a moving nonlinear source on a semi-infinite interval ⋮ Numerical and asymptotic analysis of a localized heat source undergoing periodic motion ⋮ Smoothing transformation for numerical solution of nonlinear weakly singular Volterra integral equations using quasilinearization and product integration methods ⋮ Thermal blow-up in a finite strip with superdiffusive properties

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