Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids
Volume 81 / 2008
Banach Center Publications 81 (2008), 337-368
MSC: Primary 35K50; Secondary 35K60, 35Q72.
DOI: 10.4064/bc81-0-22
Abstract
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.
