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A free boundary problem arising in some reacting–diffusing system

Published online by Cambridge University Press:  14 November 2011

D. Hilhorst ,
Y. Nishiura  and
M. Mimura
D. Hilhorst
Affiliation:
Laboratoire d'Analyse Numérique Bâtiment 425, CNRS et Université de Paris-Sud, 91405 Orsay, France
Y. Nishiura
Affiliation:
Department of Mathematics, Faculty of Integrated Arts and Sciences, Hiroshima University, Hiroshima 730, Japan
M. Mimura
Affiliation:
Department of Mathematics, Faculty of Sciences, Hiroshima University, Hiroshima 730, Japan
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Synopsis

We prove the well-posedness for a one-dimensional free boundary problem arising from some reaction diffusion system. The interfacial point hits a boundary point in finite time or remains inside for all time. In the large diffusion limit, the system is reduced to ordinary differential equations of finite dimension.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 3-4 , 1991 , pp. 355 - 378
Copyright
Copyright © Royal Society of Edinburgh 1991

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