Stability of self-similar solutions in a simplified LSW model

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.