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A diffusion equation with localized chemical reactions*

Published online by Cambridge University Press:  20 January 2009

John M. Chadam  and
Hong-Ming Yin
John M. Chadam
Affiliation:
Department of Mathematics, McMaster University, Hamilton, Ontario L8S 4K1, Canada
Hong-Ming Yin
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A1, Canada
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Abstract

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In some chemical reaction–diffusion processes, the reaction takes place only at some local sites, due to the presence of a catalyst. In this paper we study the well-posedness of a model problem of this type. Sufficient conditions are found to ensure global existence and finite time blowup. The blowup rate and the blowup set are also investigated in the case of special nonlinearity.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 101 - 118
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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