A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results
Analysis of PDEs
2017-10-04 v1
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.
Cite
@article{arxiv.1710.01225,
title = {A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results},
author = {Elena Bonetti and Cecilia Cavaterra and Francesco Freddi and Maurizio Grasselli and Roberto Natalini},
journal= {arXiv preprint arXiv:1710.01225},
year = {2017}
}