三维显微结构演化：一个存在结果

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-04-18 DOI:10.1016/j.na.2025.113810

David Kinderlehrer , KiHyun Yun

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引用次数: 0

摘要

微观结构粗化是由界面、面分开的晶粒网络，由广义曲率演化而成。这些切面沿着曲线相交，这些曲线在点处相交。这种性质的系统由许多非线性偏微分方程及其边界条件组成。这里我们探讨一个构型的局部时间存在性，也许是最简单的，接近已知的平衡构型。

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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Microstructural evolution in 3D: An existence result

Microstructural coarsening is a network of grains separated by interfaces, facets, that evolve by generalized curvature. The facets meet along curves that come together at points. Systems of this nature consist of many nonlinear PDEs with their boundary conditions. Here we explore the local in time existence for a configuration, perhaps the simplest, close to a known equilibrium configuration.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.