Home

My research activity is focused on the analysis of partial differential equations and systems of equations. More precisely, I am interested in

• Equations with nonlocal interactions arising in animal population dynamics
• Nonlinear diffusion equations
• Models for the movement of pedestrians, especially of continuum conservation-law type
• Optimal transport formulation of evolutionary PDEs
• Nonlinear equations and systems with cross diffusion arising in biological aggregation
• Reaction-diffusion systems
• Diffusive models for chemotaxis
• Diffusive relaxation phenomena
• Hydrodynamic models in compressible gas-dynamics and semiconductor theory