Stability of self-similar solutions in a simplified LSW model

J. Carr

doi:10.1016/j.physd.2006.07.026

Stability of self-similar solutions in a simplified LSW model

J. Carr

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

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. © 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	73-79
Number of pages	7
Journal	Physica D: Nonlinear Phenomena
Volume	222
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physd.2006.07.026
Publication status	Published - Oct 2006

Keywords

Domain coarsening
Lifshitz-Slyozov model
Self-similarity

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10.1016/j.physd.2006.07.026

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title = "Stability of self-similar solutions in a simplified LSW model",

abstract = "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. {\textcopyright} 2006 Elsevier Ltd. All rights reserved.",

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AB - 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. © 2006 Elsevier Ltd. All rights reserved.

KW - Domain coarsening

KW - Lifshitz-Slyozov model

KW - Self-similarity

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DO - 10.1016/j.physd.2006.07.026

M3 - Article

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VL - 222

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EP - 79

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

Stability of self-similar solutions in a simplified LSW model

Abstract

Keywords

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