The Lifshitz-Slyozov-Wagner equation for reaction-controlled kinetics
Analysis of PDEs
2010-06-07 v4
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.
Keywords
Cite
@article{arxiv.0704.0565,
title = {The Lifshitz-Slyozov-Wagner equation for reaction-controlled kinetics},
author = {Apostolos Damialis},
journal= {arXiv preprint arXiv:0704.0565},
year = {2010}
}
Comments
15 pages, LaTeX; minor revision, change of title