Long time behaviour of a Cahn-Hilliard system coupled with viscoelasticity

Irena Pawłow, and Wojciech M. Zajączkowski. "Long time behaviour of a Cahn-Hilliard system coupled with viscoelasticity." Annales Polonici Mathematici 98.1 (2010): 1-21. <http://eudml.org/doc/280950>.

@article{IrenaPawłow2010,
abstract = {The long-time behaviour of a unique regular solution to the Cahn-Hilliard system coupled with viscoelasticity is studied. The system arises as a model of the phase separation process in a binary deformable alloy. It is proved that for a sufficiently regular initial data the trajectory of the solution converges to the ω-limit set of these data. Moreover, it is shown that every element of the ω-limit set is a solution of the corresponding stationary problem.},
author = {Irena Pawłow, Wojciech M. Zajączkowski},
journal = {Annales Polonici Mathematici},
keywords = {parabolic-hyperbolic system; phase separation process; binary deformable alloy},
language = {eng},
number = {1},
pages = {1-21},
title = {Long time behaviour of a Cahn-Hilliard system coupled with viscoelasticity},
url = {http://eudml.org/doc/280950},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Irena Pawłow
AU - Wojciech M. Zajączkowski
TI - Long time behaviour of a Cahn-Hilliard system coupled with viscoelasticity
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 1
SP - 1
EP - 21
AB - The long-time behaviour of a unique regular solution to the Cahn-Hilliard system coupled with viscoelasticity is studied. The system arises as a model of the phase separation process in a binary deformable alloy. It is proved that for a sufficiently regular initial data the trajectory of the solution converges to the ω-limit set of these data. Moreover, it is shown that every element of the ω-limit set is a solution of the corresponding stationary problem.
LA - eng
KW - parabolic-hyperbolic system; phase separation process; binary deformable alloy
UR - http://eudml.org/doc/280950
ER -