On Global Asymptotic Stability for the LSW Model with subcritical initial data
Analysis of PDEs
2020-01-08 v1
Abstract
The main result of the paper is a global asymptotic stability result for solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. This extends some local asymptotic stability results of Niethammer-Vel\'{a}zquez (2006). The method of proof is along similar lines to the one used in a previous paper of the authors. This previous paper proves global asymptotic stability for a class of infinite dimensional dynamical systems for which no Lyapounov function is (apparently) available.
Cite
@article{arxiv.1810.09196,
title = {On Global Asymptotic Stability for the LSW Model with subcritical initial data},
author = {Joseph G. Conlon and Michael Dabkowski},
journal= {arXiv preprint arXiv:1810.09196},
year = {2020}
}
Comments
60 pages