Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation (Q815051)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation |
scientific article; zbMATH DE number 5004778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation |
scientific article; zbMATH DE number 5004778 |
Statements
Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation (English)
0 references
8 February 2006
0 references
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.
0 references
