Long-time stabilization of solutions to a phase-field model with memory

doi:10.1007/PL00001365

beta

Finding

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.

Paper

Long-time stabilization of solutions to a phase-field model with memory

Citations: 61

2001

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Abstract

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.

Authors

S. Aizicovici, E. Feireisl

Journal

Journal of Evolution Equations

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