Gamma-convergence and relaxations for gradient flows in metric spaces: a   minimizing movement approach
  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. 
Florentine Flei{\ss}ner
math.AP