Chair in Applied Analysis

Our current research interests are on “Applied analysis”, mainly focused on partial differential equations and their applications in other sciences such as physics, biology and economics.

Some selected topics are

• Complex systems and their related kinetic equations;
• Population dynamics with diffusion, self-diffusion and cross-diffusion;
• Singular limits in partial differential equations;
• Partial differential equations in semiconductor modelling;
• Fluid-dynamics type systems;
• Stability of matter in quantum mechanics;
• Parabolic Monge-Ampere equation and related curvature flows;
• Derivation of the mean-field limits for interacting particle systems.