Smoluchowski equation in perforamed domains: Homogenization and applications to mathematical models in medicine - Silvia Lorenzani (Politecnico di Milano)
Dettagli dell'evento
Quando
22/11/2018
dalle 14:30 alle 14:30
dalle 14:30 alle 14:30
Dove
Aula 2, Dipartimento di Matematica e Informatica
Persona di riferimento
G. Dimarco
Abstract:
In recent years, the Smoluchowski equation has been considered in biomedical research to model the aggregation and diffusion of beta-amyloid peptide in the cerebral tissue, a process thought to be associated with the development of Alzheimer's disease. In this work, we study the homogenization of a Smoluchowski system of discrete diffusion-coagulation equations with non-homogeneous Neumann boundary conditions, defined in a periodically perforated domain through a two scale convergence technique.
