Boundary Layer Energies in Discrete Systems: an Approach via Γ-convergence

Marco Cicalese


Object of this talk is the variational description by
convergence of the boundary layer phenomenon arising in pair-interaction lattice systems in a bounded set

We present several examples in phase transitions, fracture
mechanics, dimension reduction and spin systems physics in which
it is possible to show that, properly scaling the stored energy, a
non vanishing contribution due to the behaviour of the system at
the boundary of appears.

[DOI: 10.1685 / CSC06045] About DOI

Full Text:



Creative Commons License   Except where otherwise noted, content on this site is
  licensed under a Creative Commons 2.5 Italy License