Abstract The Fokker–Planck equation can be used in a partially-coherent imaging context to
model the evolution of the intensity of a paraxial x-ray wave field with propagation. This …

In the past decade, the particle-based Fokker–Planck (FP) method has been extensively
studied to reduce the computational costs of the direct simulation Monte Carlo method for …

It is well-known that the Boltzmann collision term can be simplified by Bhatnagar–Gross–
Krook (BGK) and Fokker–Planck (FP) models. These two kinetic models satisfy the …

The stochastic particle Fokker–Planck (FP) method has been gaining increasing attention in
the field of rarefied gas dynamics due to its potential to reduce the computational costs of the …

The diffusion limit of kinetic systems has been subject of numerous studies since prominent
works of Lebowitz et al.[1] and van Kampen [2]. More recently, the topic has seen a fresh …

We propose a general multi-species Fokker–Planck model. We prove consistency of our
model: conservation properties, positivity of all temperatures, H-Theorem and the shape of …

In gas transport systems of the nanoscale, fluid–surface interactions become the main forces
governing the evolution of the flow state. In ideal nanoscale systems, such as atomically …

For gas flows with moderate and low Knudsen numbers, pair-wise collisions in the
Boltzmann equation can be approximated by the Langevin model corresponding to the …

Since its first introduction, it has always been a subject of research to find models for a
meaningful approximation of the highly accurate but complex Boltzmann equation. In the …

An important class of multi-scale flow scenarios deals with an interplay between kinetic and
continuum phenomena. While hybrid solvers provide a natural way to cope with these …