Motion of Elastic Thin Films by Evaporation-Condensation in the Dewetting Regime

IF 1.3 4区 数学 Q2 MATHEMATICS, APPLIED
M. S. Indulekha
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引用次数: 0

Abstract

In this work, we show the short-time existence of solutions of the evolution equations that represent the solid state dewetting of thin films through evaporation-condensation as a two dimensional sharp interface variational model. The evolution law is established as the \(L^{2}\) gradient flow of surface energies in the presence of epitaxial strain. The main novelty is the presence of moving contact lines when the film formation is governed by the evaporation-condensation method.

弹性薄膜在脱湿状态下的蒸发-冷凝运动
在这项工作中,我们展示了作为二维锐界面变分模型表示薄膜通过蒸发-冷凝的固态脱湿的演化方程的短时间解的存在性。建立了外延应变存在下表面能的\(L^{2}\)梯度流演化规律。主要的新颖之处在于,当薄膜形成由蒸发-冷凝法控制时,存在移动接触线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae 数学-应用数学
CiteScore
2.80
自引率
6.20%
发文量
77
审稿时长
16.2 months
期刊介绍: Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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