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

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

2007-04-04

arxiv.org/abs/0704.0565v4

Proc. R. Soc. Edinb. A 140 (2010) 273-289

Mathematics

Analysis of PDEs

15 pages, LaTeX; minor revision, change of title

Scientific paper

10.1017/S0308210508000656

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.

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