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

Source: [The Lifshitz-Slyozov-Wagner equation for reaction-controlled kinetics](<https://www.sota2.com/research/paper/68fa4ec01e209131ce95dd18>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:20.244Z

Authors: Apostolos Damialis

Published: 2007-04-04T13:03:11.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0704.0565>)

[PDF](<https://arxiv.org/pdf/0704.0565.pdf>)