A CENTER MANIFOLD ANALYSIS FOR THE MULLINS-SEKERKA MODEL

Authors
ESCHER J SIMONETT G
Citation
J. Escher et G. Simonett, A CENTER MANIFOLD ANALYSIS FOR THE MULLINS-SEKERKA MODEL, Journal of differential equations, 143(2), 1998, pp. 267-292
Citations number
37
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
143
Issue
2
Year of publication
1998
Pages
267 - 292
Database
ISI
SICI code
0022-0396(1998)143:2<267:ACMAFT>2.0.ZU;2-R
Abstract
The Mullins-Sekerka model is a nonlocal evolution model for hypersurfa ces, which arises as a singular limit for the Cahn-Hilliard equation. We show that classical solutions exist globally and tend to spheres ex ponentially fast, provided that they are close to a sphere initially. Our analysis is based on center manifold theory and on maximal regular ity. (C) 1998 Academic Press.