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Journal Articles Kinetic and Related Models Year : 2011

Non―local macroscopic models based on Gaussian closures for the Spitzer―Härm regime

Abstract

The Spitzer-Härm regime arising in plasma physics leads asymptotically to a nonlinear diffusion equation for the electron temperature. In this work we propose a hierarchy of models intended to retain more features of the underlying modeling based on kinetic equations. These models are of non--local type. Nevertheless, owing to energy discretization they can lead to coupled systems of diffusion equations. We make the connection between the different models precise and bring out some mathematical properties of the models. A numerical scheme is designed for the approximate models, and simulations validate the proposed approach.
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Dates and versions

hal-00905335 , version 1 (18-11-2013)

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Thierry Goudon, Martin Parisot. Non―local macroscopic models based on Gaussian closures for the Spitzer―Härm regime. Kinetic and Related Models , 2011, 4 (3), pp.735--766. ⟨10.3934/krm.2011.4.735⟩. ⟨hal-00905335⟩
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