Robust exponential attractors for a phase-field system with memory

@article{Grasselli2005RobustEA,
  title={Robust exponential attractors for a phase-field system with memory},
  author={Maurizio Grasselli and Vittorino Pata},
  journal={Journal of Evolution Equations},
  year={2005},
  volume={5},
  pages={465-483}
}
Abstract.H.G. Rotstein et al. proposed a nonconserved phase-field system characterized by the presence of memory terms both in the heat conduction and in the order parameter dynamics. These hereditary effects are represented by time convolution integrals whose relaxation kernels k and h are nonnegative, smooth and decreasing. Rescaling k and h properly, we obtain a system of coupled partial integrodifferential equations depending on two relaxation times ɛ and σ. When ɛ and σ tend to 0, the… CONTINUE READING