In this paper we consider the coupling between two diffusion-reaction problems, one taking
place in a three-dimensional domain Ω, the other in a one-dimensional subdomain Λ. This …

In this work we study the stability and the convergence rates of the finite element approximation
of elliptic problems involving Dirac measures, using weighted Sobolev spaces and …

We consider an incompressible flow problem in a N-dimensional fractured porous domain (Darcy’s
problem). The fracture is represented by a (N − 1)-dimensional interface, exchanging …

The aim of this work is to present a reduced mathematical model for describing fluid flow in
porous media featuring open channels or fractures. The Darcy’s law is assumed in the …

Mathematical models and numerical methods have emerged as fundamental tools in the
investigation of life sciences. In particular, this is the case of medical devices as cardiovascular …

Medicated cardiovascular stents, also called drug eluting stents (DES), represent a relevant
application of controlled drug release mechanisms. Modeling of drug release from DES also …

The range of applications of mathematical modelling in biosciences has recently expanded
to encompass problems posed by biomedicine and sport sciences. Topics of interest are for …

The fully coupled description of blood flow and mass transport in blood vessels requires
extremely robust numerical methods. In order to handle the heterogeneous coupling between …

This work deals with the modelling of traffic flows in complex networks, spanning two-dimensional
regions whose size (macroscale) is much greater than the characteristic size of the …

At present, the synthesis of ammonia through the Haber–Bosch (HB) process accounts for
1.2% of the global carbon emissions, representing roughly one-fourth of the global fossil …