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- W2019439150 abstract "Nous discutons les connexions entre les modèles obtenus par différents « scalings » à partir du système de Dirac–Maxwell quantique-relativiste. En particulier, nous examinons des limites quasi-neutres/non-relativistes du système de Vlasov–Maxwell. Dans le cas d'un scaling où les effets relativistes sont partiellement conservés, on obtient un modèle du type magnéto-hydrodynamique (MHD), sinon on obtient les équations d'Euler des fluides incompressibles. Un point clef de notre analyse asymptotique rigoureuse est la méthode d'énergie modulée. Pour citer cet article : Y. Brenier et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 239–244. We discuss the connection between different scalings limits of the quantum-relativistic Dirac–Maxwell system. In particular we give rigorous results for the quasi-neutral/non-relativistic limit of the Vlasov–Maxwell system: we obtain a magneto-hydro-dynamic system when we consider the magnetic field as a non-relativistic effect and we obtain the Euler equation when we see it as a relativistic effect. A mathematical key is the modulated energy method. To cite this article: Y. Brenier et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 239–244." @default.
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- W2019439150 date "2002-02-01" @default.
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- W2019439150 title "Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamique" @default.
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- W2019439150 doi "https://doi.org/10.1016/s1631-073x(02)02206-9" @default.
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