STABILITY OF THE INTERFACE IN A MODEL OF PHASE-SEPARATION

Authors
DEMASI A ORLANDI E PRESUTTI E TRIOLO L
Citation
A. Demasi et al., STABILITY OF THE INTERFACE IN A MODEL OF PHASE-SEPARATION, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 124, 1994, pp. 1013-1022
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
124
Year of publication
1994
Part
5
Pages
1013 - 1022
Database
ISI
SICI code
0308-2105(1994)124:<1013:SOTIIA>2.0.ZU;2-#
Abstract
The paper is concerned with the asymptotic behaviour of the solutions to a nonlocal evolution equation which arises in models of phase separ ation. As in the Allen-Cahn equations, stationary spatially nonhomogen eous solutions exist, which represent the interface profile between st able phases. Local stability of these interface profiles is proved.