The formation of the dead core in parabolic reaction-diffusion problems

Bandle, Catherine; Stakgold, Ivar

doi:10.1090/S0002-9947-1984-0756040-1

The formation of the dead core in parabolic reaction-diffusion problems
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by Catherine Bandle and Ivar Stakgold PDF

Trans. Amer. Math. Soc. 286 (1984), 275-293 Request permission

Abstract:

For some nonlinear parabolic problems of reaction-diffusion, a region of zero reactant concentration may be formed in finite time. Conditions are formulated for the existence of such a dead core and estimates for its time of onset are also given. These results complement previous ones that dealt with the stationary (elliptic) problem.

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