paper

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

arXiv:0704.0565 · doi:10.1017/S0308210508000656

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.

arXiv comment15 pages, LaTeX; minor revision, change of title