This work is concerned with the existence and uniqueness of generalized (mild or
distributional) solutions to (possibly degenerate) Fokker–Planck equations ρ t− Δ β (ρ)+ div …

We propose fully discrete, implicit-in-time finite-volume schemes for a general family of non-
linear and non-local Fokker-Planck equations with a gradient-flow structure, usually known …

A class of nonlinear Fokker–Planck equations with nonlocal interactions may include many
important cases, such as porous medium equations with external potentials and aggregation …

We introduce a notion of viscosity solutions for a nonlinear degenerate diffusion equation
with a drift potential. We show that our notion of solutions coincide with the weak solutions …

We propose fully discrete, implicit-in-time finite volume schemes for general nonlinear
nonlocal Fokker-Planck type equations with a gradient flow structure, usually referred to as …

Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann–Bak model of
coagulation-breakup within a bounded domain with homogeneous Neumann boundary …

In this paper we propose some entropy/energy stable finite difference schemes for the
reaction–diffusion–advection equation arising in the evolution of biased dispersal of …

We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR)
procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified …

Abstract Computation of Fokker-Planck equations with satisfying long time behavior is
important in many applications. In this thesis, we design, analyze and implement entropy …