A great amount of natural phenomena exhibit interesting behaviors, being the result of the interplay of complex microstructures, the outcome of involved in-time evolutions, the effect of the action of internal variables, or the macroscopic counterpart of atomistic interactions. The research of the workgroup focuses on problems characterised by the presence of multiple different material scales. The techniques that we employ are often the outcome of the combination of ideas from various mathematical fields, ranging from geometric measure theory, to PDEs, and to the Calculus of Variations.