ABSTRACT
This chapter aims to a survey of results that have been obtained for two C-F models, namely the Becker–Doring cluster equations and the C-F equation with diffusion. A noticeable exception is the Becker–Doring cluster equations which are a particular case of the discrete C-F equations where clusters only gain or shed a single monomer. The chapter focuses on the long-term behaviour of solutions and assumes that the coagulation and fragmentation coefficients are positive. Size might not be the only state variable characterizing the particles, and additional variables, such as spatial position, velocity, charge, or internal structure, may play a non-negligible role. An interesting feature of the B-D equations is that their structure is much simpler than that of the discrete C-F equation, in the sense that only the dynamics of monomers is coupled to that of the other particles.
