Communications in Mathematical Sciences
- Commun. Math. Sci.
- Volume 2, Supplemental Issue 1 (2004), 75-83.
Uniqueness via Probabilistic Interpretation for the Discrete Coagulation Fragmentation Equation
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.
Commun. Math. Sci., Volume 2, Supplemental Issue 1 (2004), 75-83.
First available in Project Euclid: 2 July 2004
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Jourdain, Benjamin. Uniqueness via Probabilistic Interpretation for the Discrete Coagulation Fragmentation Equation. Commun. Math. Sci. 2 (2004), no. 1, 75--83. https://projecteuclid.org/euclid.cms/1088777495