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Uniform moment propagation for the Becker--Döring equations

Part of: Time-dependent statistical mechanics (dynamic and nonequilibrium) Equations of mathematical physics and other areas of application Stability theory

Published online by Cambridge University Press:  27 December 2018

José A. Cãnizo ,
Amit Einav  and
Bertrand Lods
José A. Cãnizo
Affiliation:
Departamento de Matemática Aplicada, Universidad de Granada, Av. Fuentenueva S/N 18071, Granada, Spain
Amit Einav
Affiliation:
Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Österreich ([email protected])
Bertrand Lods
Affiliation:
Departement of Economics and Statistics & Collegio Carlo Alberto,Università degli Studi di Torino, Corso Unione Sovietica, 218/bis 10134 Torino, Italy
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Abstract

We show uniform-in-time propagation of algebraic and stretched exponential moments for the Becker--Döring equations. Our proof is based upon a suitable use of the maximum principle together with known rates of convergence to equilibrium.

Keywords

Becker-Döringpropagation of momentsmaximum principle

MSC classification

Primary: 34D05: Asymptotic properties
Secondary: 35Q82: PDEs in connection with statistical mechanics 82C05: Classical dynamic and nonequilibrium statistical mechanics (general) 82C40: Kinetic theory of gases
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 4 , August 2019 , pp. 995 - 1015
Copyright
Copyright © Royal Society of Edinburgh 2018 

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