Special session at AIMS 2016 , Orlando USA, "Variational convergence and Degeneracies in PDES: fractal domains, composite media, dynamical boundary conditions"

In the last decades there has been an increasing interest in studying degeneracies in BVPs such as those due to highly irregular domains as in the case of fractal boundaries or interfaces, or due to the presence of composite media . Other singularities arise when studying evolution problems with dynamical boundary conditions in fractal domains. In all these cases it is important, also in view of numerical approximations, to approximate these wild geometries by smoother ones and to study the convergence of approximating functions to the limit fractal one. This is obtained by variational convergence techniques. This session is devoted to new results on this type of degeneracies.