Tuesday, July 11

MS30
Kinetic Models in Applied Sciences - Part I of VI

4:00 PM-6:00 PM
Parrot
This minisymposium is co-sponsored by the European TMR-Network "Asymptotic Methods in Kinetic Theory."

For Parts II, III, IV, V, and VI, see MS35, MS43, MS50, MS58, and MS65.

Technologically relevant transport processes now increasingly occur in regimes in which particle mean-free paths are comparable to the length scales of interest, and where traditional transport models therefore are insufficient. For example, drift-diffusion models of electron-hole current flow break down for submicron semiconductor devices because the scales of interest are too small for the macroscopic model, while Navier-Stokes approximations of fluid dynamics break down in outer planetary atmospheres or for the space shuttle reentry problem, where the mean free paths are very large.

The speakers in these sessions will explore a variety of advanced kinetic models such us moment based models, Chapmann-Enskog and Burnett type expansions, and models derived from asymptotic limits. They will discuss applications to high-altitude flight, charged particles in natural plasmas such us outer planetary atmospheres, man-made plasmas (electric propulsion for satellites), and current flow.

4:00-4:25 Boundary Value Problems for the Wigner Equation

Anton Arnold, Universität des Saarlandes, Germany

Cancelled 4:30-4:55 Boundary Conditions for Quantum Transport and Coupling to Kinetic Equations

Naoufel Ben Abdallah, CNRS and Université Toulouse III, France

4:30-4:55 Small Debye Length Limits in Quasi Hydrodynamic Models for Charged Fluids

Ingenuin Gasser, University of Hamburg, Germany

5:00-5:25 Gradient Flow in Wasserstein Metrics and the Spatially Inhomogeneous Kinetic Fokker Planck Equation

Eric Carlen, Georgia Institute of Technology , USA

5:30-5:55 Hydrodynamic Limits for Hyperbolic Systems

Athanasios E. Tzavaras, University of Wisconsin, Madison, USA