On Global Asymptotic Stability for the LSW Model with Subcritical Initial Data

摘要

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-Velazquez (Commun Partial Differ Equ 31:1679-1708, 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 Lyapunov function is (apparently) available.