Stability in the Stefan problem with surface tension (I)
Mahir Hadzic, Yan Guo
TL;DR
This paper introduces a high-order energy method to establish the asymptotic stability of flat steady surfaces in the Stefan problem with surface tension, advancing understanding of phase transition stability.
Contribution
It develops a novel high-order energy approach to prove stability in the Stefan problem with surface tension, a significant step forward in mathematical analysis of phase change models.
Findings
Proves asymptotic stability of flat steady surfaces.
Develops a high-order energy method for the Stefan problem.
Enhances theoretical understanding of phase transition stability.
Abstract
We develop a high-order energy method to prove asymptotic stability of flat steady surfaces for the Stefan problem with surface tension - also known as the Stefan problem with Gibbs-Thomson correction.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems