Calculus of Variations and Geometric Measure Theory

A. Braides - A. Defranceschi - E. Vitali

Variational evolution of one-dimensional Lennard-Jones systems

created by braidesa on 23 Jul 2013
modified on 21 Jul 2014


Published Paper

Inserted: 23 jul 2013
Last Updated: 21 jul 2014

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


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.