In this paper, supposing that either the initial data is small or the fragmentation phenomenon dominates the coagulation, we associate a nonlinear stochastic process with any solution of the mass-flow equation obtained from the discrete Smoluchowski coagulation fragmentation equation by a natural change of variables. This enables us to deduce uniqueness for the mass flow equation and therefore for the corresponding Smoluchowski equation thanks to a coupling argument.
"Uniqueness via Probabilistic Interpretation for the Discrete Coagulation Fragmentation Equation." Commun. Math. Sci. 2 (S1) 75 - 83, May, 2004.