A gradient system with a wiggly energy and relaxed EDP-convergence

@article{Dondl2017AGS,
  title={A gradient system with a wiggly energy and relaxed EDP-convergence},
  author={P. Dondl and T. Frenzel and A. Mielke},
  journal={arXiv: Analysis of PDEs},
  year={2017}
}
If gradient systems depend on a microstructure, we want to derive a macroscopic gradient structure describing the effective behavior of the microscopic effects. We introduce a notion of evolutionary Gamma-convergence that relates the microscopic energy and the microscopic dissipation potential with their macroscopic limits via Gamma-convergence. This new notion generalizes the concept of EDP-convergence, which was introduced in arXiv:1507.06322, and is called "relaxed EDP-convergence". Both… Expand
EDP-convergence for a linear reaction-diffusion system with fast reversible reaction.
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