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arXiv · 2305.12560

Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation

Juan Calvo·Erwan Hingant·Romain Yvinec
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Abstract

We consider the Lifshitz-Slyozov model with inflow boundary conditions of nucleation type. We show that for a collection of representative rate functions the size distributions approach degenerate states concentrated at zero size for sufficiently large times. The proof relies on monotonicity properties of some quantities associated to an entropy functional. Moreover, we give numerical evidence on the fact that the convergence rate to the goal state is algebraic in time. Besides their mathematical interest, these results can be relevant for the interpretation of experimental data.

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Juan Calvo, Erwan Hingant, Romain Yvinec. 2023-05-21. Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation. https://arxiv.org/abs/2305.12560

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