On coupling fluid plasma and kinetic neutral physics models

On Some Kinetic-Fluid Coupling Strategies

We will present some recent results about the development of numerical methods which are able to efficiently capture the multiscale aspects of some problems described by kinetic equations. In particular we will focus on fluid dynamics problems which present localized regions of departure from thermodynamical equilibrium. The basic idea, on which the methods rely, is to couple macroscopic hydrod...

Kinetic Boundary Layers and Fluid-Kinetic Coupling in Semiconductors

The semiconductor Boltzmann equation with elastic collisions as the dominating scattering eeects is considered. For the corresponding uid limit, the spherical harmonics expansion model, kinetic boundary layers are analyzed and higher order accurate boundary conditions are constructed. In a further step, boundary value problems for the energy transport model and the drift-diiusion model are deri...

A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma

Particle, Kinetic and Fluid Models for Phototaxis

Abstract. In this work we derive a hierarchy of new mathematical models for describing the motion of phototactic bacteria, i.e., bacteria that move towards light. These models are based on recent experiments suggesting that the motion of such bacteria depends on the individual bacteria, on group dynamics, and on the interaction between bacteria and their environment. Our first model is a collis...

Rigorous derivation of the Kinetic/Fluid coupling involving a Kinetic layer on a toy problem

In this article, we investigate the kinetic/fluid coupling on a toy model. We obtain it rigorously from a hydrodynamical limit. The idea is that at the level of the full kinetic model, the coupling is obvious. We then investigate the coupling obtained when passing into the limit. We show that, especially in presence of a shock stuck on the interface, the coupling involves a kinetic layer known ...