Analysis of Dead Core Phenomena in Reaction-Diffusion Problems
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Date
2020-05-10
Authors
Sabit, Fariza
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Sciences and Humanities
Abstract
For some semilinear parabolic problems of reaction-diffusion, a dead core - a region of zero reactant concentration - may be formed in finite time. We study the large time behavior of the solution and give an estimate for the asymptotic behavior of the solution of a semilinear
heat equation with Robin boundary condition.
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Keywords
Asymptotic Behavior