An overview of differential models for corrosion of cultural heritage artefacts

G. Frasca-Caccia¹ ; C. Valentino² ; F. Colace² ; D. Conte¹

¹ Department of Mathematics, University of Salerno, Via Giovanni Paolo II no. 132, 84084 Fisciano (SA), Italy
² Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II no. 132, 84084 Fisciano (SA), Italy

Mathematical modelling of natural phenomena, Tome 18 (2023), article no. 27.

Résumé

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.

Détail

DOI : 10.1051/mmnp/2023031

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