Long-time asymptotics of the Lifshitz-Slyoziv equation with nucleation Calvo Yagüe, Juan Hingant, Erwan Yvinec, Romain Long-time behavior Lifshitz-Slyozov equation Entropy functional Nucleation theory 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. 2024-02-03T18:46:27Z 2024-02-03T18:46:27Z 2023-12 journal article Kinetic and Related Models (disponible como "online first") https://hdl.handle.net/10481/88043 10.3934/krm.2023041 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional American Institute of Mathematical Sciences (AIMS)