ABSTRACT

This chapter provides some insight into the importance of coagulation and fragmentation processes in a number of diverse areas, and aims to describe the standard types of equations that are commonly used when modelling these processes mathematically. Coagulation and fragmentation play an important role in a remarkable variety of phenomena arising both in the natural world and also in human-developed industrial processes. Coagulation and fragmentation processes feature prominently in a number of diverse areas of pure and applied science, and also have important industrial applications. The chapter concludes by describing some extensions to the standard coagulation-fragmentation model, where additional terms have to be included in the equations to account for other factors, such as spatial diffusion or spatial transport of the particles that are coagulating or fragmenting.