Stability of self-similar solutions in a simplified LSW model

被引：12

作者：

Carr, J. ^{[1
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 222卷 / 1-2期

关键词：

Lifshitz-Slyozov model; domain coarsening; self-similarity;

D O I：

10.1016/j.physd.2006.07.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the large-time asymptotics of solutions to a simplified Lifshitz-Slyozov-Wagner (LSW) model of domain coarsening. In earlier work it was shown that the asymptotics of solutions to the LSW model depend in a sensitive way on the behaviour of the initial data near the end of its support. For the simplified LSW model we characterise the domains of attraction of all the self-similar solutions. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：73 / 79

页数：7

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