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arXiv · 0704.0565

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

Apostolos Damialis
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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.

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Apostolos Damialis. 2009-10-01. The Lifshitz-Slyozov-Wagner equation for reaction-controlled kinetics. https://doi.org/10.1017/s0308210508000656

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