This volume contains the proceedings of the international workshop Variational Problems in Materials Science. Coverage includes the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, and much more.
Remarks on a Multiscale Approach to Grain Growth in Polycrystals.- Another Brick in the Wall.- Variational Problems for Functionals Involving the Value Distribution.- Bi-Modal Cohesive Energies.- Criterion for Tricritical Points in Liquid Crystal Phases.- Asymptotics of Boundary Value Problems for Supercritical Ginzburg-Landau Energies.- An Introduction to H-measures and Their Applications.- A Singular Perturbation Result with a Fractional Norm.- Smooth and Creased Equilibria for Elastic-plastic Plates and Beams.- On Concentrated Contact Interactions.- Discontinuous Hysteresis and P.D.E.s.