Uniqueness for the coagulation-fragmentation equation with strong fragmentation
type: Item
instance of: scholarly article
title: Uniqueness for the coagulation-fragmentation equation with strong fragmentation
zbMATH Open document ID: 1238.45008
author: Ankik Kumar Giri
author: Gerald Warnecke
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2012-01-10T00:00:00Z
review text: The paper is devoted to continuous coagulation-fragmentation equations which are a type of partial integro-differential equations that are also known as aggregation-breakage equations. Such equations describe the dynamics of particle growth and the time evolution of a system of particles under the combined effect of coagulation and fragmentation. Each particle is identified by its size (or volume), which is assumed to be a positive real number. From a physical point of view, the basic mechanisms taken into account are the coalescence of two particles to form a larger one and the breakage of particles into smaller ones. These models are of substantial interest in many areas of science and engineering: kinetics of phase transformations in binary alloys, aggregation of red blood. The authors demonstrate the uniqueness of mass-conserving solutions with some restrictions on the fragmentation kernels.
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 82C26
zbMATH DE Number: 5996253
zbMATH Keywords: particles
zbMATH Keywords: coagulation
zbMATH Keywords: strong fragmentation
zbMATH Keywords: uniqueness of solutions
zbMATH Keywords: continuous coagulation-fragmentation equations
zbMATH Keywords: aggregation-breakage equations
zbMATH Keywords: kinetics of phase transformations
zbMATH Keywords: binary alloys
zbMATH Keywords: aggregation of red blood
zbMATH Keywords: mass-conserving solutions
reviewed by: Michael I. Gil'
MaRDI profile type: Publication
full work available at URL: s00033-011-0129-0
OpenAlex ID: W2062816568
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DOI: 10.1007/S00033-011-0129-0
description: scientific article; zbMATH DE number 5996253