The asymptotic behavior for gaseous ignition models
type: Item
instance of: scholarly article
title: The asymptotic behavior for gaseous ignition models
zbMATH Open document ID: 0962.35085
DOI: 10.1016/S0377-0427(98)00101-0
author: Stephen Bricher
author: Evrim Akdoğu
published in: Journal of Computational and Applied Mathematics
publication date: 1999-10-05T00:00:00Z
review text: The author analyzes the blow-up behavior for the classical solutions of the equation \[ u_t=\Delta u +e^u =g(t). \] Here the main difficulty arises from the nonlocal term \(g(t)\) which depends on the integral of \(u_t\) over the domain. This interesting paper includes the evolution of the blow-up singularity. It extends the result of the article by \textit{S. Bricher} [Proc. R. Soc. Edinb., Sect. A 124, No. 5, 947-969 (1994; Zbl 0818.35041)].
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1326412
zbMATH Keywords: semilinear parabolic equations
zbMATH Keywords: evolution of the blow-up singularity
zbMATH Keywords: blow-up behavior
zbMATH Keywords: nonlocal term
reviewed by: Huaiyu Jian
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1326412