4 papers
Microscopic models for the large-scale spread of SARS-CoV-2 virus: A Statistical Mechanics approach
Marzia Bisi, Silvia Lorenzani
In this work, we derive a system of Boltzmann-type equations to describe the spread of SARS-CoV-2 virus at the microscopic scale, that is by modeling the human-to-human mechanisms…
Homogenization of Smoluchowski-type equations with transmission boundary conditions
Bruno Franchi, Silvia Lorenzani
In this work, we prove a two-scale homogenization result for a set of diffusion-coagulation Smoluchowski-type equations with transmission boundary conditions. This system is meant…
A Mathematical model for Alzheimer's disease: An approach via stochastic homogenization of the Smoluchowski equation
Bruno Franchi, Martin Heida, Silvia Lorenzani
In this note, we apply the theory of stochastic homogenization to find the asymptotic behavior of the solution of a set of Smoluchowski's coagulation-diffusion equations with non-h…
Homogenization of the discrete diffusive coagulation-fragmentation equations in perforated domains
Laurent Desvillettes, Silvia Lorenzani
The asymptotic behavior of the solution of an infinite set of Smoluchowski's discrete coagulation-fragmentation-diffusion equations with non-homogeneous Neumann boundary conditions…