(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2017) Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander
If gradient systems depend on a microstructure, we want to derive a
macroscopic gradient structure describing the effective behavior of the
microscopic system. We introduce a notion of evolutionary Gamma-convergence
that relates the microscopic energy and the microscopic dissipation potential
with their macroscopic limits via Gammaconvergence. We call this notion
relaxed EDP-convergence since the special structure of the dissipation
functional may not be preserved under Gamma-convergence. However, by
investigating the kinetic relation we derive the macroscopic dissipation
potential.
