Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2022-08-20 DOI:10.1090/qam/1642

A. Acharya, M. Slemrod

引用次数: 0

Abstract

This paper examines a system of partial differential equations describing dislocation dynamics in a crystalline solid. In particular we consider dynamics linearized about a state of zero stress and use linear semigroup theory to establish existence, uniqueness, and time-asymptotic behavior of the linear system.

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线性化场位错动力学的存在性、唯一性和长期行为

本文研究了描述晶体中位错动力学的偏微分方程组。特别地，我们考虑关于零应力状态线性化的动力学，并使用线性半群理论来建立线性系统的存在性、唯一性和时间渐近行为。

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

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.