Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamiqueOn some limits in charged particle physics towards (magneto)hydrodynamic equations |
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| Authors: | Yann Brenier Norbert J Mauser Marjolaine Puel |
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| Institution: | 1. Laboratoire J.A. Dieudonné, Parc Valrose, 06100 Nice, France;2. Wolfgang Pauli Institute, c/o Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria;3. Laboratoire d''analyse numérique, Université Pierre et Marie Curie, BC 187, 75252 Paris cedex 05, France |
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| Abstract: | 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. |
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