SLOW PATTERNS IN MULTILAYER DISLOCATION EVOLUTION WITH DYNAMIC BOUNDARY CONDITIONS

doi:10.1137/25M1733136

2026-01-01

PRE

Yuan Gao *

Stefania Patrizi

DOI：10.1137/25M1733136

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摘要

En 中文

本文研究了模拟界面的多层位错动力学的慢模式。我们重点关注具有不同弛豫时间尺度的体动力学对由常微分方程（ODE）系统控制的界面慢运动模式的影响。从一个N个静止过渡层的叠加开始，在界面的特定时间尺度下，我们证明了动态解趋近于N个显式过渡剖面的叠加，其中心通过求解带有排斥力的ODE系统得到。值得注意的是，该ODE系统与一维分数阶Allen-Cahn方程慢运动模式中得到的系统相同，其中假设弹性体是静态的。由于体和界面动力学的完全耦合，构造了具有精妙估计的新修正函数，以稳定体动力学并表征动态解在整个半平面上的极限行为。

Keyword:

reaction-diffusion

screw dislocation dynamics

interacting particle system

slow motion

期刊

SIAM Journal on Mathematical Analysis

IF:

1.9

论文数:

被引数:

机构

Purdue University System

学者数:

4.0W

论文数: 3.6W

被引数: 66

Purdue University

学者数:

2.7W

论文数: 2.1W

被引数: 147

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