Minimizing movements along a sequence of functionals and curves of   maximal slope
  We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of maximal slope allows also to characterize minimizing movements along a sequence of functionals as curves of maximal slope of a limit functional. 
Andrea Braides, Maria Colombo, Massimo Gobbino, Margherita Solci
math.AP