Discrete coagulation-fragmentation equations

28/02/2020, 14:00 - 15:00 in MAP/0G/014

Langer, Matthias (Strathclyde University)


Abstract:

In many situations in nature and industrial processes clusters of particles can combine into larger clusters or fragment into smaller ones. In the absence of any spatial variation, the evolution of the cluster size distribution can be described by an integro-differential equation (when the size of the clusters is arbitrary) or an infinite system of differential equations (when the cluster size assumes only discrete values). In this talk I shall discuss how the theory of operator semigroups can be used to study coagulation-fragmentation equations, where I will focus on the discrete-size version.

Mathematical Sciences Research Centre