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2019 Articolo in rivista open access

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

E Bonetti ; C Cavaterra ; F Freddi ; M Grasselli ; R Natalini

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.

Global existence and uniqueness bulk-surface PDE system sulphation phenomena numerical simulation.