Fast diffusion across fractal interfaces
Heat transfer across a highly conductive Koch type interface.
In many natural and industrial processes diffusion phenomena take place across disordered and wild media. Irregular interfaces of fractal type are a good tool to model such media which are believed to exhibit fractal properties. We focused on the study of fast-diffusion phenomena across irregular fractal boundaries both from a theoretical and a numerical point of view. This research is part of a long term project funded by Sapienza whose PI is M. Rosaria Lancia and it is in collaboration with the Department of Mathematics, Worcester Polytechnic Institute (MA,USA) in the context of an international agreement between ICI and WPI.