Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation - Université de Picardie Jules Verne Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

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

Résumé

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.
Fichier principal
Vignette du fichier
Special_cases_on_long_time_dynamics_for_some_variants_of_Lifshitz__Slyozov_s_equations-7.pdf (5.42 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04098262 , version 1 (17-05-2023)
hal-04098262 , version 2 (17-11-2023)

Identifiants

  • HAL Id : hal-04098262 , version 1

Citer

Juan Calvo, Erwan Hingant, Romain Yvinec. Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation. 2023. ⟨hal-04098262v1⟩
121 Consultations
40 Téléchargements

Partager

Gmail Facebook X LinkedIn More