Communications in Mathematical Sciences
Volume 2 (2004)
Supplemental Issue 1
Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation
Pages: 75 – 83
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.