Deterministic and Stochastic Becker-Döring equations: Past and Recent Mathematical Developments

Abstract

We present a survey on the results on a particular coagulation-fragmentation model given by the Becker-Döring equations. For both the deterministic and stochastic versions, we include well-posedness, long-time behavior, convergence rate towards equilibrium, coarsening and relation to transport equations, time-dependent properties, metastability and classical nucleation theory. All along this survey, we highlight recent results and open questions.

19 pages