Stability of self-similar solutions in a simplified LSW model

J. Carr

Research output: Contribution to journalArticle

10 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 languageEnglish
Pages (from-to)73-79
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume222
Issue number1-2
DOIs
Publication statusPublished - Oct 2006

Keywords

  • Domain coarsening
  • Lifshitz-Slyozov model
  • Self-similarity

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