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Long-time behavior of some models of Cahn-Hilliard equations in deformable continua. (English) Zbl 0989.35066
The author considers the generalized models of Cahn-Hilliard equations. Existence and uniqueness of weak solutions is shown in the case of the system being the coupling of the Cahn-Hilliard equation with the Navier equation. Also a weakly coupled system is defined for which the existence of a finite-dimensional attractor is proved.

35K35 Initial-boundary value problems for higher-order parabolic equations
35B41 Attractors
35A15 Variational methods applied to PDEs
Full Text: DOI
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