Diffusion Limits of Kinetic Models

N. Ben Abdallah (), P. Degond (), F. Deluzet (), V. Latocha (), R. Talaalout () and M. H. Vignal ()
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N. Ben Abdallah: MIP, UMR 5640 (CNRS-UPS-INSA)
P. Degond: MIP, UMR 5640 (CNRS-UPS-INSA)
F. Deluzet: MIP, UMR 5640 (CNRS-UPS-INSA)
V. Latocha: Kyoto University, Department of Aeronautical Engineering
R. Talaalout: Centre National d’Études Spatiales
M. H. Vignal: MIP, UMR 5640 (CNRS-UPS-INSA)

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 3-17 from Springer

Abstract: Abstract This paper reports on recent developments in diffusive limits of kinetic systems. Usually, collision operators in kinetic theory exhibit multiple relaxation scales and before a full relaxation towards a Maxwellian equilibrium has been achieved, the system passes through a series of states that can be described by partial equilibria. The paper describes various models describing the dynamics of these partial equilibria, namely the SHE (Spherical Harmonics Expansion) and the ET (Energy Transport) models. Various examples of applications of these models to plasma problems are presented.

Keywords: Work; partially; supported; by; the; Commissariat; l’Energie; Atomique; and; by; Centre; National; d’Etudes; Spatiales; Boltzmann equation; diffusive limits; Spherical Harmonics Expansion model; Energy Transport model; Drift-Diffusion model (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-642-55711-8_1

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