In this paper we study the Cahn-Hilliard-Gurtin system describing the phase-separation process in elastic solids. The system has been derived by Gurtin (1996) as an extension of the classical Cahn-Hilliard equation. For a version with viscosity we prove the existence and uniqueness of a weak solution on an infinite time interval and derive an absorbing set estimate.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-22,
author = {Irena Paw\l ow and Wojciech M. Zaj\k aczkowski},
title = {Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {337-368},
zbl = {1159.35375},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-22}
}
Irena Pawłow; Wojciech M. Zajączkowski. Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids. Banach Center Publications, Tome 83 (2008) pp. 337-368. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-22/