Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids

Irena Pawłow, and Wojciech M. Zajączkowski. "Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids." Banach Center Publications 81.1 (2008): 337-368. <http://eudml.org/doc/282197>.

@article{IrenaPawłow2008,
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.},
author = {Irena Pawłow, Wojciech M. Zajączkowski},
journal = {Banach Center Publications},
keywords = {Cahn-Hilliard; weak solution; global existence; uniqueness},
language = {eng},
number = {1},
pages = {337-368},
title = {Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids},
url = {http://eudml.org/doc/282197},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Irena Pawłow
AU - Wojciech M. Zajączkowski
TI - Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 337
EP - 368
AB - 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.
LA - eng
KW - Cahn-Hilliard; weak solution; global existence; uniqueness
UR - http://eudml.org/doc/282197
ER -