Special Session 9: 

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

Cecilia Cavaterra
Universita` degli Studi di Milano
Italy
Co-Author(s):    Elena Bonetti, Francesco Freddi, Maurizio Grasselli, Roberto Natalini
Abstract:
We consider an evolution system describing the phenomenon of marble sulphation of a monument, accounting of the surface rugosity. We rst 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.