SS122 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Variational convergence and Degeneracies in PDES: fractal domains, composite media, dynamical boundary conditions.
Organizer(s):
Name: Affiliation: Country: Email Address:
Maria Rosaria Lancia
Dept. of Basic and Applied Sciences for Engineering at Sapienza University of Rome.
Italy
maria.lancia@sbai.uniroma1.it
Maria Agostina Vivaldi
Dept. of Basic and Applied Sciences for Engineering at Sapienza University of Rome.
Italy
maria.vivaldi@sbai.uniroma1.it
Raffaela Capitanelli
Dept. of Basic and Applied Sciences for Engineering at Sapienza University of Rome.
Italy
raffaela.capitanelli@sbai.uniroma1.it
Introduction:
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.
List of approved abstract