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

E Bonetti;C Cavaterra;R Natalini
2019

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.
2019
Istituto Applicazioni del Calcolo ''Mauro Picone''
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Global existence and uniqueness
bulk-surface PDE system
sulphation phenomena
numerical simulation.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/349741
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