Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 6, p. 1071-1090

In this paper, we prove the convergence of the current defined from the Schrödinger-Poisson system with the presence of a strong magnetic field toward a dissipative solution of the Euler equations.

DOI : https://doi.org/10.1051/m2an:2003006
Classification:  76X05,  76N99,  81Q99,  82D10,  35Q40
Keywords: quasi-neutral plasmas, semi-classical limit, modulated energy 
@article{M2AN_2002__36_6_1071_0,
     author = {Puel, Marjolaine},
     title = {Convergence of the Schr\"odinger-Poisson system to the Euler equations under the influence of a large magnetic field},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {6},
     year = {2002},
     pages = {1071-1090},
     doi = {10.1051/m2an:2003006},
     zbl = {1137.76836},
     mrnumber = {1958659},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2002__36_6_1071_0}
}

Puel, Marjolaine. Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 6, pp. 1071-1090. doi : 10.1051/m2an:2003006. http://www.numdam.org/item/M2AN_2002__36_6_1071_0/

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