Here we propose and analyze a mathematical model that aims to describe the marble sulphation process occurring in a given material. The model accounts for rugosity as well as for damaging effects. This model is characterized by some technical difficulties that seem hard to overcome from a theoretical viewpoint. Therefore, we introduce some physically reasonable modifications in order to establish the existence of a suitable notion of solution on a given time interval. Numerical simulations are presented and discussed, also in view of further research. (c) 2023 Elsevier Ltd. All rights reserved.
A nonlinear model for marble sulphation including surface rugosity and mechanical damage / E. Bonetti, C. Cavaterra, F. Freddi, M. Grasselli, R. Natalini. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 73:(2023), pp. 103886.1-103886.32. [10.1016/j.nonrwa.2023.103886]
A nonlinear model for marble sulphation including surface rugosity and mechanical damage
E. BonettiPrimo
;C. CavaterraSecondo
;
2023
Abstract
Here we propose and analyze a mathematical model that aims to describe the marble sulphation process occurring in a given material. The model accounts for rugosity as well as for damaging effects. This model is characterized by some technical difficulties that seem hard to overcome from a theoretical viewpoint. Therefore, we introduce some physically reasonable modifications in order to establish the existence of a suitable notion of solution on a given time interval. Numerical simulations are presented and discussed, also in view of further research. (c) 2023 Elsevier Ltd. All rights reserved.
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