A seminar of Mathematics for daTa scieNce at the Department of Mathematics

Eugenia Franco

(University of Helsinki)

Bio

I completed my bachelor and masted degrees in the Univesrity of Trento. I spent one semester of my master in the Netherlands, Utrecht, partecipating to the Erasmus project. After the graduation I started a PhD in Mathematics as part of the Research Group of Biomathematics and the Atmospheric Mathematics Collaboration in the University of Helsinki, where I am workig on fragmentation coagulation models for aereosol dynamics.

When and Where

21 June 2018, 11.30-12.30

Room A108 of Polo Scientifico e Tecnologico “Fabio Ferrari”, Povo 1, see here

Abstract

Challenging mathematical problems arise studying atmospheric sciences. In this talk, I will focuse on the analysis of a dynamical system coming from a model of aereosol dynamics. This model aim to describe the evolution of the vapour concentration and of the density of particles in an aereosol. The processes underlying this evolution are coagulation, fragmentation, growth and destruction of particles.

The resulting dynamical system is composed of a PDE, describing the evolution of the particles, and a ODE describing the vapour evolution. This system can be reformulated as a renewal equation combined with a delay differential equation. This new formulation of the problem guarantees the existence of a solution to the system and helps the analysis of its behavior.

In this talk, I will explain how we carried out this reformulation and why this appear a succesfull strategy to treat the problem.