Heriot-Watt Mathematics Report Series
HWM05-37, 1 May 2006
Stability of self-similar solutions in a simplified LSW model
J Carr
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.
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