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

• Autorzy: Irena Pawłow , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K60: Nonlinear initial value problems for linear parabolic equations
• 35L20: Initial-boundary value problems for second-order hyperbolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 98
• Numer: 1
• Strony: 1-21

Daty

wydano

2010

Twórcy

autor

Irena Pawłow

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap98-1-1