By Gianni Dal Maso, Antonio de Simone, Franco Tomarelli
This quantity includes the lawsuits of the overseas workshop Variational difficulties in fabrics technological know-how, which was once together geared up through the overseas college for complex reviews (SISSA) of Trieste and via the Dipartimento di Matematica"Francesco Brioschi" of the Politecnico di Milano. The convention came about at SISSA from September 6 to ten, 2004.The examine of variational difficulties in fabrics technological know-how has an extended heritage, and it has contributed much in shaping our realizing on how fabrics paintings and practice. there's, even though, a up to date renewed curiosity during this topic as a result of the fruitful interplay among mathematical research and the modelling of recent, technologically complicated fabrics. On one hand, a large staff of analysts has present in fabrics technology a worthy resource of concept for brand spanking new variational theories and engaging difficulties. however, staff within the fields of theoretical, utilized, and computational mechanics are more and more utilizing cutting edge variational suggestions. The workshop meant to check many of the fresh advances stemming from the profitable interplay among the 2 groups, and to spot promising parts for extra cooperation.Talks have been dedicated to a large spectrum of analytical suggestions and of actual platforms and phenomena. They integrated the examine of BV vector fields, direction functionals over Wasserstein areas, variational methods to quasi-static evolution, free-discontinuity issues of purposes to fracture and plasticity, platforms with hysteresis or with interfacial energies, evolution of interfaces, multi-scale research in ferromagnetismand ferroelectricity, variational ideas for the learn of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, focused touch interactions, and part transitions in biaxial liquid crystals. This quantity collects contributions authored or co-authored by means of eleven of the 20 audio system invited to convey lectures on the workshop. all of them comprise unique leads to fields that are on the vanguard of present examine, and in quick evolution.