A competition-diffusion system approximation to the classical two-phase Stefan problem - To the memory of Professor Masaya Yamaguti

Authors
Hilhorst, D Iida, M Mimura, M Ninomiya, H
Citation
D. Hilhorst et al., A competition-diffusion system approximation to the classical two-phase Stefan problem - To the memory of Professor Masaya Yamaguti, JPN J I A M, 18(2), 2001, pp. 161-180
Citations number
16
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
ISSN journal
09167005 → ACNP
Volume
18
Issue
2
Year of publication
2001
Pages
161 - 180
Database
ISI
SICI code
0916-7005(200106)18:2<161:ACSATT>2.0.ZU;2-D
Abstract
A new type of competition-diffusion system with a small parameter is propos ed. By singular limit analysis, it is shown that any solution of this syste m converges to the weak solution of the two-phase Stefan problem with react ion terms. This result exhibits the relation between an ecological populati on model and water-ice solidification problems.