Geodesic
Long time behaviour of a Cahn–Hilliard system coupled with viscoelasticity
Irena Paw/low1 ; Wojciech M. Zaj/aczkowski2
1 Systems Research Institute Polish Academy of Sciences Newelska 6 01-447 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences /Sniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
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.
DOI : 10.4064/ap98-1-1
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

Irena Paw/low 1 ; Wojciech M. Zaj/aczkowski 2

1 Systems Research Institute Polish Academy of Sciences Newelska 6 01-447 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences /Sniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland 
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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. http://geodesic.mathdoc.fr/articles/10.4064/ap98-1-1/

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