Coagulation fragmentation model for aerosol dynamics
Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it
Luogo: aula A108 – Polo Ferrari 1 - Via Sommarive 5 - Povo
Ore: 11:30
Relatrice:
- Eugenia Franco (University of Helsinki)
Abstract:
Challenging mathematical problems arise studying atmospheric sciences. In this talk, I will focuse on the analysis of a dynamical system comingfrom a model of aereosol dynamics. This model aim to describe the evolution of the vapour concentration and ofthe density of particles in an aereosol. The processes underlying thisevolution are coagulation, fragmentation, growth and destruction ofparticles.
The resulting dynamical system is composed of a PDE, describing theevolution of the particles, and a ODE describing the vapour evolution. This system can be reformulated as a renewal equation combined with a delaydifferential equation. This new formulation of the problem guarantees theexistence of a solution to the system and helps the analysis of itsbehavior. In this talk, I will explain how we carried out this reformulation and whythis appear a succesfull strategy to treat the problem.
Contact person: Claudio Agostinelli
