A Mathematical model of copper corrosion
Fabrizio Clarelli, Barbara De Filippo, Roberto Natalini

TL;DR
This paper introduces a new PDE-based model with a double free boundary to predict copper corrosion, accurately matching experimental data and aiding in damage assessment due to SO2 pollution.
Contribution
It presents a novel mathematical model with a double free boundary to simulate copper corrosion, improving predictive capabilities over existing models.
Findings
Numerical simulations align well with experimental results.
The model effectively describes corrosion evolution under SO2 pollution.
Provides a new tool for damage prediction in bronze artifacts.
Abstract
A new partial differential model for monitoring and detecting copper corrosion products (mainly brochantite and cuprite) is proposed to provide predictive tools suitable for describing the evolution of damage induced on bronze specimens by sulfur dioxide (SO_2) pollution. This model is characterized by the movement of a double free boundary. Numerical simulations show a nice agreement with experimental result.
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