A model of Cahn-Hilliard equation based on a microforce balance

Authors
Miranville, A
Citation
A. Miranville, A model of Cahn-Hilliard equation based on a microforce balance, CR AC S I, 328(12), 1999, pp. 1247-1252
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
12
Year of publication
1999
Pages
1247 - 1252
Database
ISI
SICI code
0764-4442(19990615)328:12<1247:AMOCEB>2.0.ZU;2-D
Abstract
We derive in this Note a model of Cahn-Hilliard equation that takes into ac count the effects of internal microforces. This model is based on constitut ive equations developed by M. Gurtin in [4]. We then obtain the existence a nd uniqueness of solutions and the existence of global attractors. (C) Acad emie des Sciences/Elsevier, Paris.