Asymptotic Analysis of a Phase-Field Model with Memory

@article{Colli2019AsymptoticAO,
  title={Asymptotic Analysis of a Phase-Field Model with Memory},
  author={Pierluigi Colli and Gianni Gilardi and Maurizio Grasselli},
  journal={Free boundary problems:},
  year={2019}
}
A phase-field model accounting for memory effects is considered. This model consists of a hyperbolic integrodifferential equation coupled with a parabolic differential inclusion. The latter relation rules the evolution of the phase field and contains a time relaxation parameter which happens to be very small in the appli- cations. A well-posed initial and boundary value problem for the evolution system is introduced and the asymptotic behavior of its solution as the time relaxation goes to zero… 

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