The Becker-Döring model with diffusion: II. Long time behavior

DOI10.1006/jdeq.1998.3462zbMath0913.35070OpenAlexW2047439103MaRDI QIDQ1270014

Dariusz Wrzosek, Philippe Laurençot

Publication date: 2 December 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3462

zbMATH Keywords

coagulation and fragmentationinfinite reaction diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

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Cites Work

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• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Existence of solutions for the discrete coagulation-fragmentation model with diffusion
• Asymptotic behaviour of solutions to the diffusive fragmentation-coagulation system
• Existence of solutions to coagulation-fragmentation systems with diffusion
• An existence theorem for the discrete coagulation-fragmentation equations
• Trend to equilibrium in the Becker-Doring cluster equations
• Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
• The Becker-Döring model with diffusion. I. Basic properties of solutions