Qualitative and numerical analysis of differential and stochastic models for applications
This research group studies modeling, qualitative and numerical analysis of systems of differential and stochastic equations arising in applications: reacting fluids in porous media, biological fluxes, control and optimization of complex systems, analysis of system of many individuals (crowd dynamics, car traffic, social systems, biological systems).
Mathematical modeling and numerical simulations for classical, quantistic and relativistic fluids
This research line concerns both the mathematical modelization and the numerical simulations for fluid systems in classical, quantistic and relativistic conditions.
In particular, the dynamics of fluids (ideal, viscous, non-Newtonian) is studied at all scales of interest for the applications: from cosmology, to engineering, climate,
bio-fluidics at different scales, namely electronic, nuclear and subnuclear.
Mathematics for the Environment
Research interests of this group consist in the mathematical approach to the observation and measurements relevant to environment and climate and the diagnostic/prognostic study of natural and anthropic processes related to them.
Optimization, Discrete mathematics and Decision Science
The project is concerned with Theory, Methods and Real-World Applications of Discrete Optimization, Finite Dimensional Optimization and Discrete Mathematics and the way the latter interacts with the former ones.
Models and computational methods for image and signal processing and statistical methods for multidimensional and complex data analysis
This Project focuses on some theoretical and practical aspects of statistical and mathematical analysis and processing of signals, images, videos and multidimensional data. In addtion, particula emphasys is devoted to the development of novel statistical methods and algorithms for data science.
Mathematical methods for diagnosis and preservation of Cultural Heritage
In this research area the study of mathematical techniques and models for the preservation and use of cultural heritage is carried out. The multidisciplinary topics include: 1. study of the polluting substances emitted by vehicles in relation to their speed and acceleration, such as nitrogen oxidizers (NOx) as well as ozone production (O3), as a secondary pollutant ; 2. study of the chemical-physical-mechanical characteristics of shape memory copper and iron alloys and their resistance to corrosion according to different environments, and any changes to their mechanical properties; 3. study of the structural and external damage of stone materials exposed to the attack of chemical agents and of the action of protective substances applied to the stone; 4. study of visitor behavior within museums in order to optimize ticketing, visiting hours, the number of visitors / groups and, more generally, the use of the museum; 5. study of a mathematical model based on the calculation of the variations for the restoration of digitized archive films.
Informatica e sicurezza
Informatica e sicurezza
Bioinformatics and Computational Biology
We use mathematical techniques such as statistical and computational support to the understanding of complex biological phenomena. The studies may be an end to the knowledge itself or be linked to one or more diseases of the human organism in which case the modeling often aims to identify a new diagnostic method or to optimize the protocol of an existing therapeutic regimen.
