@misc{10481/88043,
year = {2023},
month = {12},
url = {https://hdl.handle.net/10481/88043},
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.},
organization = {State Research Agency (SRA) of the Spanish Ministry of Science and Innovation and European Regional Development Fund (ERDF), project PID2022-137228OB-I00},
organization = {Junta de Andalucíıa and ERDF (project C-EXP-265-UGR23)},
organization = {Modeling Nature Research Unit (project QUAL21-011)},
organization = {ECOS-Sud project n. C20E03 (France – Chile)},
organization = {Inria team ANACONDA.},
publisher = {American Institute of Mathematical Sciences (AIMS)},
keywords = {Long-time behavior},
keywords = {Lifshitz-Slyozov equation},
keywords = {Entropy functional},
keywords = {Nucleation theory},
title = {Long-time asymptotics of the Lifshitz-Slyoziv equation with nucleation},
doi = {10.3934/krm.2023041},
author = {Calvo Yagüe, Juan and Hingant, Erwan and Yvinec, Romain},
}