Research activity in short

My research activity is focused on the analysis of partial differential equations and systems of equations, with main focus on

• Equations with nonlocal interactions and nonlinear diffusion (aggregation-diffusion)
• Vehicular and pedestrian traffic flow models of continuum conservation-law type
• Deterministic particle approximation of transport-diffusion PDEs
• Optimal transport formulation of evolutionary PDEs
• Nonlinear equations and systems with cross diffusion and reaction
• Biomathematics, with special focus on chemotaxis modelling
• Diffusive relaxation phenomena