Abstract
This paper reports on recent developments in diffusive limits of ki-netic systems. Usually, collision operators in kinetic theory exhibit multiple relax-ation 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.
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CITATION STYLE
Ben Abdallah, N., Degond, P., Deluzet, F., Latocha, V., Talaalout, R., & Vignal, M. H. (2003). Diffusion Limits of Kinetic Models. In Hyperbolic Problems: Theory, Numerics, Applications (pp. 3–17). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-55711-8_1
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