An Integro-differential Model of Cadmium Yellow Photodegradation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918212012081152 |
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| author | Ceseri, Maurizio Natalini, Roberto Pezzella, Mario |
| author_facet | Ceseri, Maurizio Natalini, Roberto Pezzella, Mario |
| contents | Many paintings from the 19th century have exhibited signs of fading and discoloration, often linked to cadmium yellow, a pigment widely used by artists during that time. In this work, we develop a mathematical model of the cadmium sulfide photocatalytic reaction responsible for these damages. By employing non-local integral operators, we capture the interplay between chemical processes and environmental factors, offering a detailed representation of the degradation mechanisms. Furthermore, we present a second order positivity-preserving numerical method designed to accurately simulate the phenomenon and ensure reliable predictions across different scenarios, along with a comprehensive sensitivity analysis of the model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06997 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Integro-differential Model of Cadmium Yellow Photodegradation Ceseri, Maurizio Natalini, Roberto Pezzella, Mario Numerical Analysis Mathematical Physics Dynamical Systems 45J05, 45D05, 65R20, 65D32, 74A65, 74F25 Many paintings from the 19th century have exhibited signs of fading and discoloration, often linked to cadmium yellow, a pigment widely used by artists during that time. In this work, we develop a mathematical model of the cadmium sulfide photocatalytic reaction responsible for these damages. By employing non-local integral operators, we capture the interplay between chemical processes and environmental factors, offering a detailed representation of the degradation mechanisms. Furthermore, we present a second order positivity-preserving numerical method designed to accurately simulate the phenomenon and ensure reliable predictions across different scenarios, along with a comprehensive sensitivity analysis of the model. |
| title | An Integro-differential Model of Cadmium Yellow Photodegradation |
| topic | Numerical Analysis Mathematical Physics Dynamical Systems 45J05, 45D05, 65R20, 65D32, 74A65, 74F25 |
| url | https://arxiv.org/abs/2411.06997 |