The Becker-Döring model with diffusion: II. Long time behavior
type: Item
instance of: scholarly article
title: The Becker-Döring model with diffusion: II. Long time behavior
zbMATH Open document ID: 0913.35070
author: Dariusz Wrzosek
author: Philippe Laurençot
published in: Journal of Differential Equations
publication date: 1998-12-02T00:00:00Z
review text: [For part I see Colloq. Anal. 67, No. 1-2, 137-156 (1997; Zbl 0894.35055).] This paper deals with a special infinite reaction diffusion system describing coagulation and fragmentation in a finite domain \(\Omega\) with no flux boundary conditions. It is proven that the solutions tend to spatially homogeneous steady states, which may even reduce to a single equilibrium state under appropriate assumptions on the diffusion coefficients. The proofs are carried out in an abstract setting.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35R20
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92E20
zbMATH DE Number: 1213737
zbMATH Keywords: infinite reaction diffusion system
zbMATH Keywords: coagulation and fragmentation
reviewed by: René Sperb
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3462
OpenAlex ID: W2047439103
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cites work: An existence theorem for the discrete coagulation-fragmentation equations
cites work: Existence of solutions for the discrete coagulation-fragmentation model with diffusion
DOI: 10.1006/JDEQ.1998.3462
description: scientific article; zbMATH DE number 1213737