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arXiv · 1411.2007

On large time behavior and selection principle for a diffusive Carr-Penrose Model

Joseph G. Conlon·Michael Dabkowski·Jingchen Wu
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Abstract

This paper is concerned with the study of a diffusive perturbation of the linear LSW model introduced by Carr and Penrose. A main subject of interest is to understand how the presence of diffusion acts as a selection principle, which singles out a particular self-similar solution of the linear LSW model as determining the large time behavior of the diffusive model. A selection principle is rigorously proven for a model which is a semi-classical approximation to the diffusive model. Upper bounds on the rate of coarsening are also obtained for the full diffusive model.

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Joseph G. Conlon, Michael Dabkowski, Jingchen Wu. 2014-11-07. On large time behavior and selection principle for a diffusive Carr-Penrose Model. https://doi.org/10.1007/s00332-015-9280-7

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