Bridging kinetic plasma descriptions and single-fluid models

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...

Hybrid kinetic/fluid models for nonequilibrium systems

Our purpose is to derive a model describing the evolution of particles at various scales following their kinetic energy. Fast particles will be described through a collisional kinetic equation of Boltzmann-BGK type. This equation will be coupled with a fluid model (Euler equations) that describes the evolution of slower particles. The main interest of this approach is to reduce the cost of nume...

Towards Resolution of Bridging Descriptions

Towards Resolution of Bridging Descriptions

We present preliminary results concerning robust techniques for resolving bridging definite descriptions. We report our analysis of a collection of 20 Wall Street Journal articles from the Penn Treebank Corpus and our experiments with WordNet to identify relations between bridging descriptions and their antecedents. 1 B a c k g r o u n d As part of our research on definite description (DD) inte...

Kinetic and fluid models for supply chains supporting policy attributes

We consider a supply chain consisting of a sequence of buffer queues and processors with certain throughput times and capacities. In a previous work, we have derived a hyperbolic conservation law for the part density and flux in the supply chain. In the present paper, we introduce internal variables (named attributes: e.g. the time to due-date) and extend the previously defined model into a kin...