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Spatial segregation limit of a competition–diffusion system

Published online by Cambridge University Press:  01 April 1999

E. N. DANCER ,
D. HILHORST ,
M. MIMURA  and
L. A. PELETIER
E. N. DANCER
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
D. HILHORST
Affiliation:
Analyse Numérique et EDP, CNRS et Université de Paris-Sud, Bâtiment 425, 91405 Orsay, France
M. MIMURA
Affiliation:
Department of Mathematical Sciences, University of Tokyo, 1-3-8 Komaba, Meguro-ku, Tokyo 153, Japan
L. A. PELETIER
Affiliation:
Mathematical Institute, Leiden University, PB 9512, 2300 RA Leiden, The Netherlands
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Abstract

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We consider a competition–diffusion system and study its singular limit as the interspecific competition rate tend to infinity. We prove the convergence to a Stefan problem with zero latent heat.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 10 , Issue 2 , April 1999 , pp. 97 - 115
Copyright
1999 Cambridge University Press