On Global Asymptotic Stability for the LSW Model with subcritical initial data

Joseph G. Conlon; Michael Dabkowski

doi:10.1007/s10955-019-02424-y

paper

On Global Asymptotic Stability for the LSW Model with subcritical initial data

arXiv:1810.09196 · doi:10.1007/s10955-019-02424-y

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-Velázquez (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.

60 pages