Blowup solutions in a problem for the nonlinear heat equation on a small interval

DOI10.1007/s10598-009-9027-0zbMath1180.80063OpenAlexW1972319692MaRDI QIDQ1037051

E. D. Kuretova, E. S. Kurkina

Publication date: 13 November 2009

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-009-9027-0

zbMATH Keywords

combustionblowupnonlinear heat equationself-similar regimeheat localizationcyclic evolution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Combustion (80A25) Quasilinear parabolic equations (35K59)

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Stability and localization of unbounded solutions of a nonlinear heat equation in a plane ⋮ Modeling general laws of spatial-temporal evolution of society: hyperbolic growth and historical cycles

Cites Work

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• A mathematical model of global demographic processes with regard to the spatial distribution
• The problem of blow-up in nonlinear parabolic equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld

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