On large time behavior and selection principle for a diffusive Carr-Penrose Model
Analysis of PDEs
2016-01-27 v1
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.
Cite
@article{arxiv.1411.2007,
title = {On large time behavior and selection principle for a diffusive Carr-Penrose Model},
author = {Joseph G. Conlon and Michael Dabkowski and Jingchen Wu},
journal= {arXiv preprint arXiv:1411.2007},
year = {2016}
}
Comments
53 pages