Blow-up in reaction-diffusion systems under Robin boundary conditions

2015/09/09 by Li-Chang Hung, Hung, Li-Chang
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1509.02719

11 pages

arxiv created 2015/09/09 · arxiv updated 2015/09/10

Abstract

In this paper we apply the differential inequality technique of Payne \it et. al \citePayne&SchaeferRobin08 to show that a reaction-diffusion system admits blow-up solutions, and to determine an upper bound for the blow-up time. For a particular nonlinearity, a lower bound on the blow-up time, when blow-up does occur, is also given.

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