TY - GEN A1 - Liero, Matthias A1 - Reichelt, Sina T1 - Homogenization of Cahn–Hilliard-type equations via evolutionary Γ-convergence N2 - In these notes we discuss two approaches to evolutionary Γ- convergence of gradient systems in Hilbert spaces. The formulation of the gradient system is based on two functionals, namely the energy functional and the dissipation potential, which allows us to employ Γ- convergence methods. In the first approach we consider families of uni- formly convex energy functionals such that the limit passage of the time-dependent problems can be based on the theory of evolutionary variational inequalities as developed by Daneri and Savar ́e 2010. The second approach uses the equivalent formulation of the gradient system via the energy-dissipation principle and follows the ideas of Sandier and Serfaty 2004. We apply both approaches to rigorously derive homogenization limits for Cahn–Hilliard-type equations. Using the method of weak and strong two-scale convergence via periodic unfolding, we show that the energy and dissipation functionals Γ-converge. In conclusion, we will give specific examples for the applicability of each of the two approaches. KW - Evolutionary Γ-convergence, gradient systems, homogeniza- tion, Cahn–Hilliard equation, evolutionary variational inequality, energy- dissipation principle, two-scale convergence. Y1 - 2016 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1370 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13700 ER -