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arXiv · 1710.01225

A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results

Elena Bonetti·Cecilia Cavaterra·Francesco Freddi·Maurizio Grasselli·Roberto Natalini
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Abstract

We consider an evolution system describing the phenomenon of marble sulphation of a monument, accounting of the surface rugosity. We first prove a local in time well posedness result. Then, stronger assumptions on the data allow us to establish the existence of a global in time solution. Finally, we perform some numerical simulations that illustrate the main feature of the proposed model.

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Elena Bonetti, Cecilia Cavaterra, Francesco Freddi, Maurizio Grasselli, Roberto Natalini. 2017-10-03. A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results. https://arxiv.org/abs/1710.01225

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