MALLET, Jessy; BRULL, Stéphane; DUBROCA, Bruno

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MALLET, Jessy
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]

BRULL, Stéphane
Institut de Mathématiques de Bordeaux [IMB]

DUBROCA, Bruno
Institut de Mathématiques de Bordeaux [IMB]

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Kinetic and Related Models. 2015, vol. 8, n° 3

AIMS

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In plasma physics domain, the electrons transport can be des cribed from kinetic and hydrodynamical models. Both methods present disadvantages and thus cannot be considered in practical computations forInertial Confinement Fusion (ICF). That is why we propose in this paper a new model which is intermediate between these two descriptions. More precisely, the derivation of such models is based on an angular closure in the phase space and retains only the energy of particles as a kinetic variable. The closure ofthe moment system is obtained from a minimum entropy principle. The resultingcontinuous model is proved to satisfy fundamental properties. Moreover the model is discretized w.r.t the energy variable and the semi-discretized scheme is shown to satisfy conservation properties and entropy decay.< Réduire

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General moment system for plasmas physics based on minimum entropy principle

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