We study a nonlinear kinetic model describing the interactions of particles in a granular medium, i.e. inelastic systems where kinetic energy is not conserved due to internal friction. Examples of particles that fall into ...

This thesis studies existence and characterization of optimal solutions to the principal-agent problem with adverse selection for both discrete and continuous problems. The existence results are derived by the abstract ...

In this thesis, we study a linear fractional Fokker-Planck equation that models non-local (`fractional') diffusion in the presence of a potential field. The non-locality is due to the appearance of the `fractional Laplacian' ...