Abstract.
We prove that any global bounded solution of a phase field model with memory terms tends to a single equilibrium state for large times. Because of the memory effects, the energy is not a Lyapunov function for the problem and the set of equilibria may contain a nontrivial continuum of stationary states. The method we develop is applicable to a more general class of equations containing memory terms.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received August 11, 2000; accepted September 25, 2000.
Rights and permissions
About this article
Cite this article
Aizicovici, S., Feireisl, E. Long-time stabilization of solutions to a phase-field model with memory. J.evol.equ. 1, 69–84 (2001). https://doi.org/10.1007/PL00001365
Issue Date:
DOI: https://doi.org/10.1007/PL00001365