多尺度粘弹性模型的变指数记忆演化方程分析

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-06-11 DOI:10.1016/j.aml.2025.109640

Yiqun Li , Xiangcheng Zheng

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引用次数: 0

摘要

研究了描述具有记忆材料多尺度粘弹性的非正型变指数记忆演化方程的适定性和解正则性。采用摄动法对模型进行变换，并在此基础上证明了模型的适定性。然后导出了加权解的正则性，其中初始奇异性以变指数的初始值为特征。

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Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity

We investigate the well-posedness and solution regularity of an evolution equation with non-positive type variable-exponent memory, which describes multiscale viscoelasticity in materials with memory. The perturbation method is applied for model transformation, based on which the well-posedness is proved. Then the weighted solution regularity is derived, where the initial singularity is characterized by the initial value of variable exponent.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.