Different Time Scales
In this section we examine the effect of scaling the energies in the resulting minimizing movements. One application is the possibility of defining and study long-time behaviour of variational motions, such as the ones connected to Mumford–Shah or Perona–Malik energies, Lennard-Jones discrete systems, or the gradient theory of phase transitions. These are obtained by suitably choosing a diverging (but positive) scaling of the energies. Negative scalings may be used to define a backward motion of some energy F, after properly choosing a family of functional Γ-converging to F.
- 2.Braides, A., Scilla, G.: Nucleation and backward motion of discrete interfaces. Preprint Scuola Normale Superiore, Pisa (2013). http://cvgmt.sns.it/paper/2239/