非局部等值界面条件下时振荡抛物型系统的有效行为

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-06-04 DOI:10.1016/j.jmaa.2025.129753

M. Amar , D. Andreucci , C. Timofte

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引用次数: 0

摘要

本文研究了两相复合材料在分离其组分的界面上存在不完全接触条件时热扩散问题的均匀化问题。更准确地说，我们考虑了一个等值的界面条件和一个非局部条件，其中涉及一个时间振荡的振幅因子。我们执行均匀化过程，导致三种不同的宏观模型，取决于出现在振幅因子中的缩放参数的值。

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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Effective behavior of a time-oscillating parabolic system with non-local and equi-valued interface conditions

In this paper, we study the homogenization of a heat diffusion problem in a two-phase composite material with imperfect contact conditions on the interface separating its constituents. More precisely, we consider an equi-valued interface condition and a non-local condition, which involves a time-oscillating amplitude factor. We perform a homogenization process, leading to three different macroscopic models, depending on the value of a scaling parameter appearing in the amplitude factor.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.