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

Autor:	Conlon, Joseph G., Dabkowski, Michael, Wu, Jingchen
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs 35F05
Druh dokumentu:	Working Paper
DOI:	10.1007/s00332-015-9280-7
Popis:	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. Comment: 53 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1411.2007 Zobrazit plný text záznamu View this record from Arxiv