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Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation. (English) Zbl 1153.82341
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.

82C70 Transport processes in time-dependent statistical mechanics
60J75 Jump processes (MSC2010)
Full Text: DOI Euclid