Spatial segregation limit of a competition-diffusion system

Authors
Dancer, EN Hilhorst, D Mimura, M Peletier, LA
Citation
En. Dancer et al., Spatial segregation limit of a competition-diffusion system, EUR J AP MA, 10, 1999, pp. 97-115
Citations number
21
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
ISSN journal
09567925 → ACNP
Volume
10
Year of publication
1999
Part
2
Pages
97 - 115
Database
ISI
SICI code
0956-7925(199904)10:<97:SSLOAC>2.0.ZU;2-F
Abstract
We consider a competition-diffusion system and study its singular limit as the interspecific competition rate tend to infinity. We prove the convergen ce to a Stefan problem with zero latent heat.