Séminaires à venir
In this talk, we will discuss coagulation and fragmentation phenomena through a mathematical model, obtained using the law of mass action, consisting of an infinite ordinary differential system of equations. Close to the well-known Becker-Döring model, ours introduces production and irreversible fragmentation, which entails among other things, the loss of mass preservation. We will first study our system of equations theoretically; we will establish well-posedness under some suitable conditions, and then we will focus on the long-time behaviour of our solution. Then, we will present a numerical scheme and some numerical simulations. We will compare our numerical scheme to well known scheme; qualitatively, quantitatively and in computation time.