Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-14T23:24:03.033Z Has data issue: false hasContentIssue false
  • English
  • Français

Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data

Published online by Cambridge University Press:  14 November 2011

J. M. Ball  and
J. Carr
J. M. Ball
Affiliation:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, Scotland
J. Carr
Affiliation:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, Scotland
Get access Rights & Permissions [Opens in a new window]

Synopsis

The asymptotic behaviour of solutions to the Becker-Doring cluster equations is determined without the decay assumptions on the initial data made in [3].

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 1-2 , 1988 , pp. 109 - 116
Copyright
Copyright © Royal Society of Edinburgh 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Aizenman, M. and Bak, T. A.. Convergence to equilibrium in a system of reacting polymers. Comm. Math. Phys. 65 (1979), 203–230.CrossRefGoogle Scholar
2Ball, J. M.. Loss of the constraint in convex variational problems. Volume for J.-L. Lions (to appear).Google Scholar
3Ball, J. M., Carr, J. and Penrose, O.. The Becker-Döring cluster equations: basic properties and asymptotic behaviour of solutions. Comm. Math. Phys. 104 (1986), 657–692.CrossRefGoogle Scholar
4Cohen, R. J. and Benedek, G. B.. Equilibrium and kinetic theory of polymerization and thesol-gel transition. J. Phys. Chem. 86 (1982), 3696–3714.CrossRefGoogle Scholar
5Drake, R.. In Topics in current aerosol research. International reviews in aerosol physics and chemistry, Vol. 2, eds. Hidy, G. M. and Brock, J. R. (Oxford: Pergamon Press 1972).Google Scholar
6Hale, J. K.. Dynamical systems and stability. J. Math. Anal. Appl. 26 (1969), 39–59.CrossRefGoogle Scholar
7Hendricks, E. M., Ernst, M. H. and Ziff, R. M.. Coagulation equations with gelation. J. Statist. Phys. 31 (1983), 519–563.CrossRefGoogle Scholar