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arXiv · 1810.09196

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

Joseph G. Conlon·Michael Dabkowski
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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.

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Joseph G. Conlon, Michael Dabkowski. 2018-10-22. On Global Asymptotic Stability for the LSW Model with subcritical initial data. https://doi.org/10.1007/s10955-019-02424-y

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