Research Interests

Research interests

The research activity mainly concerns mathematical modeling and study of qualitative properties, for application problems of interest in various fields such as Biomathematics, Economics, Cultural Heritage, Fluid Dynamics.

In details, qualitative analysis concerns the study of properties such as: asymptotic behavior, linear and non-linear stability problems with respect to perturbations on the initial data, existence of absorbent sets

In a more schematic way:

• Reaction-diffusion models: qualitative analysis

• Dynamical Systems: theory and applications

• Thermal convection in clear fluids and in porous media

• Navier – Stokes equations for isothermal and non isothermal fluids, in bounded and unbounded domains

• Specific fields: Mathematics for Economy, Cultutal Heritage, Biology and Medicine, Mathematical Epidemiology, Population Dynamics, Optimal Control

Scientific dissemination:

• Conferences and expositions addressed to students/teachers/generic public

• Participation in Science festivals