Landau damping and inhomogeneous reference states

Julien Barré; Alain Olivetti; Yoshiyuki Y. Yamaguchi

doi:10.1016/j.crhy.2015.03.013

Prix Langevin de l'Académie des sciences

Landau damping and inhomogeneous reference states

Julien Barré ¹ ; Alain Olivetti ¹; Yoshiyuki Y. Yamaguchi ²

¹ Laboratoire Jean-Alexandre-Dieudonné, Université de Nice–Sophia Antipolis, UMR CNRS 7351, parc Valrose, 06108 Nice cedex 02, France
² Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

Comptes Rendus. Physique, Volume 16 (2015) no. 8, pp. 723-728.

Abstract
Résumé

Landau damping is a fundamental phenomenon in plasma physics, which also plays an important role in astrophysics, and sometimes under different names, in fluid dynamics, and other fields. Its theoretical discussion in the framework of the Vlasov equation often assumes that the reference stationary state is homogeneous in space. However, Landau damping around an inhomogeneous reference stationary state, a natural setting in astrophysics for instance, induces new mathematical difficulties and physical phenomena. The goal of this article is to provide an introduction to these problems and the questions they raise.

L'amortissement Landau est fondamental en physique des plasmas, et joue, parfois sous un nom différent, un rôle important en astrophysique, en dynamique des fluides et dans d'autres domaines. Son traitement théorique à partir de l'équation de Vlasov suppose souvent que l'état stationnaire de référence est homogène en espace. Néanmoins, un état stationnaire non homogène en espace, un cadre naturel en astrophysique par exemple, induit des difficultés mathématiques et des phénomènes physiques nouveaux. Le but de cet article est de fournir une introduction à ces problèmes et aux questions qu'ils soulèvent.

Published online: 2015-04-18

DOI: 10.1016/j.crhy.2015.03.013

Keywords: Landau damping, Plasma physics, Fluid dynamics, Astrophysics, Vlasov equation, Inhomogeneous stationary state
Mots-clés : Amortissement de Landau, Physique des plasmas, Dynamique des fluides, Astrophysique, Équation de Vlasov, État stationnaire non homogène

Author's affiliations:

Julien Barré ¹; Alain Olivetti ¹; Yoshiyuki Y. Yamaguchi ²

¹ Laboratoire Jean-Alexandre-Dieudonné, Université de Nice–Sophia Antipolis, UMR CNRS 7351, parc Valrose, 06108 Nice cedex 02, France
² Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

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     title = {Landau damping and inhomogeneous reference states},
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     pages = {723--728},
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Julien Barré; Alain Olivetti; Yoshiyuki Y. Yamaguchi. Landau damping and inhomogeneous reference states. Comptes Rendus. Physique, Volume 16 (2015) no. 8, pp. 723-728. doi : 10.1016/j.crhy.2015.03.013. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2015.03.013/

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