Analysis of Dead Core Phenomena in Reaction-Diffusion Problems
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Nazarbayev University School of Sciences and Humanities
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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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