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.
A nonlinear model for marble sulphation including surface rugosity: Theoretical and numerical results / Bonetti, E.; Cavaterra, C.; Freddi, F.; Grasselli, M.; Natalini, R.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 18:2(2019), pp. 977-998. [10.3934/cpaa.2019048]
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