The Lifshitz–Slyozov–Wagner equation for reaction-controlled kinetics
Published online by Cambridge University Press: 30 March 2010
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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