文物腐蚀的微分模型综述

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2023-01-01 DOI:10.1051/mmnp/2023031

Francesco Colace, Dajana Conte, Gianluca Frasca-Caccia, Carmine Valentino

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引用次数: 0

摘要

新技术在保护艺术和文化遗产方面发挥着核心作用。文献是丰富的数学模型，描述腐蚀的过程，由于风化和暴露于污染物。这些模型由需要用数值方法近似求解的微分方程或偏微分方程组成。本文旨在描述文献中的数学模型和用于求解它们的数值方法。我们特别关注由石头、石灰砂浆、混凝土和金属制成的艺术品的腐蚀研究。

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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An Overview of Differential Models for Corrosion of Cultural Heritage Artefacts

New technologies play a central role in damage prevention of artistic and cultural heritage. The literature is ourishing of mathematical models that describe the process of corrosion due to weathering and exposition to pollutants. These models consist of differential equations or partial differential equations that need to be solved approximately by numerical methods. This paper aims to describe the mathematical models in the literature and the numerical methods used for their solution. We focus in particular on the studies of corrosion of pieces of art made of stone, lime mortar concrete and metal.

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.