An introduction to mathematical models of\ud coagulation-fragmentation processes:\ud a discrete deterministic mean-field approach

摘要

We summarise the properties and the fundamental mathematical results\udassociated with basic models which describe\udcoagulation and fragmentation processes in a deterministic manner\udand in which cluster size is a discrete quantity (an integer\udmultiple of some basic unit size).\udIn particular, we discuss Smoluchowski's equation for aggregation,\udthe Becker-Döring model of simultaneous aggregation and fragmentation,\udand more general models involving coagulation and fragmentation.