SLOW MOTION IN THE GRADIENT THEORY OF PHASE-TRANSITIONS VIA ENERGY AND SPECTRUM

Citation
Nd. Alikakos et al., SLOW MOTION IN THE GRADIENT THEORY OF PHASE-TRANSITIONS VIA ENERGY AND SPECTRUM, Calculus of variations and partial differential equations, 6(1), 1998, pp. 39-66
Citations number
31
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
09442669
Volume
6
Issue
1
Year of publication
1998
Pages
39 - 66
Database
ISI
SICI code
0944-2669(1998)6:1<39:SMITGT>2.0.ZU;2-L
Abstract
We describe some aspects of the Cahn-Hilliard and related equations. I n particular we consider the dynamics of almost spherical interfaces a nd establish that almost spherical interfaces either persist forever o r until they reach the boundary, a phenomenon which happens superslowl y.