三维纳米棒存在时弹性场的定量分析

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-30 DOI:10.1016/j.jde.2025.113591

Wanjing Tang , Youjun Deng , Xiaoping Fang

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引用次数: 0

摘要

本文研究了三维直线纳米棒中弹性场的扰动。通过对与该各向异性几何相关的neumann - poincar算子进行详细的渐近分析，我们得到了扰动场的精确渐近公式，该公式清楚地显示了高曲率点附近的场积累。此外，还证明了圆盘上相关的诺伊曼-庞卡罗的本征值都属于三维直线纳米棒的本征模。

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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Quantitative analysis of elastic field in presence of three dimensional nanorod

In this paper, we investigate the perturbation of the elastic field in the context of a three dimensional straight nanorod. We obtain an exact asymptotic formula for the perturbation field by performing a detailed asymptotic analysis of the Neumann-Poincaré operator associated with this anisotropic geometry, which clearly shows the field accumulation near the high curvature points. Additionally, it is shown that all the eigenvalues of the related Neumann-Poincaré for a disk belong to the eigenmodes of three dimensional straight nanorod.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics