Published Paper

Inserted: 23 jul 2013
Last Updated: 21 jul 2014

Journal: Netw. Heterog. Media
Volume: 9
Pages: 217-238
Year: 2014

Abstract:

Scope of this paper is twofold: on one hand we push further the study of Lennard-Jones systems from the standpoint of variational principles, showing their equivalence to energies of Fracture Mechanics in the one-dimensional case also as gradient-flow type dynamics are concerned; on the other hand we give an example of a sequence of non-convex energies for which $\Gamma$-convergence and gradient-flow type dynamics commute by examining their minimizing movements.

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