Stability and localization of unbounded solutions of a nonlinear heat equation in a plane

DOI10.1007/s10598-009-9042-1zbMath1248.35103OpenAlexW2042908736MaRDI QIDQ616550

I. M. Nikol'skii, E. S. Kurkina

Publication date: 10 January 2011

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

Full work available at URL: https://doi.org/10.1007/s10598-009-9042-1

zbMATH Keywords

structural stabilitycompact-support distributionspower-function nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Quasilinear parabolic equations (35K59)

Related Items (1)

Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium

Cites Work

• Blowup solutions in a problem for the nonlinear heat equation on a small interval
• Numerical analysis of radially nonsymmetric blow-up solutions of a nonlinear parabolic problem
• A mathematical model of global demographic processes with regard to the spatial distribution
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