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The Lifshitz–Slyozov–Wagner equation for reaction-controlled kinetics

Published online by Cambridge University Press:  30 March 2010

Apostolos Damialis
Apostolos Damialis
Affiliation:
Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany (damialis@mathematik.hu-berlin.de)
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Abstract

We rigorously derive a weak form of the Lifshitz–Slyozov–Wagner equation as the homogenization limit of a Stefan-type problem describing reaction-controlled coarsening of a large number of small spherical particles. Moreover, we deduce that the effective mean-field description holds true in the particular limit of vanishing surface-area density of particles.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 2 , April 2010 , pp. 273 - 289
Copyright
Copyright © Royal Society of Edinburgh 2010

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