Inserted: 29 nov 2017
Last Updated: 12 feb 2020
We present new abstract results on the interrelation between the minimizing movement scheme for gradient flows along a sequence of $\Gamma$-converging functionals and the gradient flow motion for the corresponding limit functional, in a general metric space. We are able to allow a relaxed form of minimization in each step of the scheme, and so we present new relaxation results too.
Keywords: $\Gamma$-convergence, Gradient flows, Curves of maximal slope, minimizing movements