A curve shortening equation with time-dependent mobility related to grain boundary motions

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2020-02-05 DOI:10.4171/IFB/453

M. Mizuno, K. Takasao

引用次数: 0

Abstract

In this article, some curve shortening equation related to the evolution of grain boundaries is presented. The curve shortening equation with time-dependent mobility is derived from the grain boundary energy applying the maximum dissipation principle. Gradient estimates and large time asymptotic behavior of solutions are considered. A key ingredient is weighted monotonicity formula with time dependent mobility.

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与晶界运动有关的随时间迁移率的曲线缩短方程

本文提出了一些与晶界演化有关的曲线缩短方程。利用最大耗散原理，从晶界能推导出随时间迁移率变化的曲线缩短方程。考虑了梯度估计和解的大时间渐近性。具有随时间迁移率的加权单调性公式是其中的关键。

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

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.