Long time behaviour of a Cahn–Hilliard system
coupled with viscoelasticity
Annales Polonici Mathematici, Tome 98 (2010) no. 1, pp. 1-21
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $\omega $-limit set of these data. Moreover, it is shown that every element of the $\omega $-limit set is a solution of the corresponding stationary problem.
Keywords:
long time behaviour unique regular solution cahn hilliard system coupled viscoelasticity studied system arises model phase separation process binary deformable alloy proved sufficiently regular initial trajectory solution converges omega limit set these moreover shown every element omega limit set solution corresponding stationary problem
Affiliations des auteurs :
Irena Paw/low 1 ; Wojciech M. Zaj/aczkowski 2
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author = {Irena Paw/low and Wojciech M. Zaj/aczkowski},
title = {Long time behaviour of a {Cahn{\textendash}Hilliard} system
coupled with viscoelasticity},
journal = {Annales Polonici Mathematici},
pages = {1--21},
publisher = {mathdoc},
volume = {98},
number = {1},
year = {2010},
doi = {10.4064/ap98-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap98-1-1/}
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Irena Paw/low; Wojciech M. Zaj/aczkowski. Long time behaviour of a Cahn–Hilliard system coupled with viscoelasticity. Annales Polonici Mathematici, Tome 98 (2010) no. 1, pp. 1-21. doi: 10.4064/ap98-1-1
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