G-Convergence of Friedrichs Systems Revisited

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-01-22 DOI:10.1002/mma.10656

K. Burazin, M. Erceg, M. Waurick

引用次数: 0

Abstract

We revisit the homogenization theory for Friedrichs systems. In particular, we show that $G$ -compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way, we extend the applicability of $G$ -compactness results for Friedrichs systems to equations that yield memory effects in the homogenized limit and detour any usage of compactness techniques previously employed.

MSC2020 Classification: 35B27, 35F45, 35M32, 47F05

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Friedrichs系统的g -收敛性

我们重新审视弗里德里希系统的均匀化理论。特别是，我们证明了G $$ G $$ -紧性可以在比Burazin和Vrdoljak（2014）的原作更弱的假设下获得。通过这种方式，我们将friedrichhs系统的G $$ G $$ -紧性结果的适用性扩展到在均质极限下产生记忆效应的方程，并绕过了先前使用的紧性技术。MSC2020分类：35B27、35F45、35M32、47F05

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

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.