On a class of continuous coagulation-fragmentation equations
type: Item
instance of: scholarly article
title: On a class of continuous coagulation-fragmentation equations
zbMATH Open document ID: 0978.35083
author: Philippe Laurençot
published in: Journal of Differential Equations
publication date: 2002-01-27T00:00:00Z
review text: The simultaneous coagulation and fragmentation of systems of particle clusters is studied in this article. Each cluster is assumed to be fully described by a real number denoting its size. Effects such as multiple coagulation are ignored, assuming that the rates of the reactions only depend on the sizes of the clusters. The author proves the existence of solutions for product-type coagulation kernels with a weak fragmentation. The last two sections deal with the effects of gelation, i.e., the failure of density conservation. This is done both in the pure coagulation and in the coagulation-fragmentation case and estimates on \(\rho(t)\) and upper bounds (although not optimal) on the gelation time are obtained.
reviewed by: Panayiotis Vlamos
Mathematics Subject Classification ID: 35Q80
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 1545269
zbMATH Keywords: coagulation process
zbMATH Keywords: fragmentation process
zbMATH Keywords: gelation
zbMATH Keywords: large time behaviour
MaRDI profile type: Publication
full work available at URL: jdeq.2000.3809
OpenAlex ID: W2059508753
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DOI: 10.1006/JDEQ.2000.3809
description: scientific article; zbMATH DE number 1545269