Existence and uniqueness for spatially inhomogeneous coagulation-condensation equation with unbounded kernels
type: Item
instance of: scholarly article
title: Existence and uniqueness for spatially inhomogeneous coagulation-condensation equation with unbounded kernels
zbMATH Open document ID: 0907.45010
published in: Journal of Integral Equations and Applications
publication date: 1998-07-08T00:00:00Z
full work available at URL: cont9-3.htm
review text: The paper deals with Smoluchowski's model of the time evolution of particles in dispersive systems. The unknown distribution of particles is a function \(c(x,t,z)\) where \(x\geq 0\) is the mass of a particle at time \(t\) located at \(z\in\mathbb{R}^3\). \(c\) is a solution of an initial value problem for an integro-differential equation. An existence and uniqueness result is established for this problem with small initial data, with vanishing scalar speed of particle growth and with the velocity of space transfer of particles independent of the position \(z\).
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 1156425
zbMATH Keywords: coagulation-condensation equation
zbMATH Keywords: unbounded kernels
zbMATH Keywords: Smoluchowski's model
zbMATH Keywords: time evolution of particles
zbMATH Keywords: dispersive systems
zbMATH Keywords: initial value problem
zbMATH Keywords: integro-differential equation
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: transfer of particles
author: Dongho Chae
author: P. B. Dubovskiĭ
MaRDI profile type: Publication
OpenAlex ID: W2051894772
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DOI: 10.1216/JIEA/1181076013
description: scientific article; zbMATH DE number 1156425