Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation
type: Item
instance of: scholarly article
title: Uniqueness via probabilistic interpretation for the discrete coagulation fragmentation equation
zbMATH Open document ID: 1153.82341
author: Benjamin Jourdain
published in: Communications in Mathematical Sciences
publication date: 2006-02-08T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.cms/1088777495
review text: 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.
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 5004778
MaRDI profile type: Publication
DOI: 10.4310/CMS.2004.V2.N5.A6
description: scientific article; zbMATH DE number 5004778