Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition

A. A. Lacey; D. Tzanetis

doi:10.1093/imamat/41.3.207

Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition

A. A. Lacey, D. Tzanetis

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

A model for an exothermic chemical reaction is considered, to find under what circumstances 'complete blow-up' may occur. If the problem blows up completely the model must become invalid and physically a thermal explosion or ignition is to be expected. In particular, relations between times of blow-up and of complete blow-up are investigated. © 1988 Oxford University Press.

Original language	English
Pages (from-to)	207-215
Number of pages	9
Journal	IMA Journal of Applied Mathematics
Volume	41
Issue number	3
DOIs	https://doi.org/10.1093/imamat/41.3.207
Publication status	Published - 1988

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10.1093/imamat/41.3.207

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title = "Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition",

abstract = "A model for an exothermic chemical reaction is considered, to find under what circumstances 'complete blow-up' may occur. If the problem blows up completely the model must become invalid and physically a thermal explosion or ignition is to be expected. In particular, relations between times of blow-up and of complete blow-up are investigated. {\textcopyright} 1988 Oxford University Press.",

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AB - A model for an exothermic chemical reaction is considered, to find under what circumstances 'complete blow-up' may occur. If the problem blows up completely the model must become invalid and physically a thermal explosion or ignition is to be expected. In particular, relations between times of blow-up and of complete blow-up are investigated. © 1988 Oxford University Press.

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JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

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Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition

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