Peierls-Nabarro位错模型动态解的长时间行为

IF 0.6 Q4 MATHEMATICS, APPLIED

Methods and applications of analysis Pub Date : 2019-07-03 DOI:10.4310/MAA.2020.v27.n2.a4

Yuan Gao, Jian‐Guo Liu

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引用次数: 3

摘要

本文研究了Peierls-Nabarro位错模型的弛豫过程，该模型是一个具有奇异非局部能量和双阱势的梯度流，描述了材料在位错存在时如何弛豫到平衡状态。证明了peerls - nabarro模型的动态解将指数收敛于唯一确定的移位稳态剖面。

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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Long time behavior of dynamic solution to Peierls–Nabarro dislocation model

In this paper we study the relaxation process of Peierls-Nabarro dislocation model, which is a gradient flow with singular nonlocal energy and double well potential describing how the materials relax to its equilibrium with the presence of a dislocation. We prove the dynamic solution to Peierls-Nabarro model will converge exponentially to a shifted steady profile which is uniquely determined.

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来源期刊

Methods and applications of analysis MATHEMATICS, APPLIED-

自引率

33.30%

发文量