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Finite Larmor radius approximation for the Fokker-Planck-Landau equation

Mihai Bostan 1 Céline Caldini Queiros 2, 3 
3 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : The subject matter of this paper concerns the derivation of the finite Larmor radius approximation, when collisions are taken into account. Several studies are performed, corresponding to different collision kernels. The main motivation consists in computing the gyroaverage of the Fokker-Planck-Landau operator, which plays a major role in plasma physics. We show that the new collision operator enjoys the usual physical properties; the averaged kernel balances the mass, momentum, kinetic energy and dissipates the entropy.
Document type :
Preprints, Working Papers, ...
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Contributor : Céline Caldini Queiros Connect in order to contact the contributor
Submitted on : Tuesday, December 4, 2012 - 9:22:51 AM
Last modification on : Friday, February 4, 2022 - 3:14:13 AM

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  • HAL Id : hal-00760499, version 1
  • ARXIV : 1207.0940


Mihai Bostan, Céline Caldini Queiros. Finite Larmor radius approximation for the Fokker-Planck-Landau equation. 2012. ⟨hal-00760499⟩



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