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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.
@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 },
pages = {1071--1090},
publisher = {EDP-Sciences},
volume = {36},
number = {6},
year = {2002},
doi = {10.1051/m2an:2003006},
mrnumber = {1958659},
zbl = {1137.76836},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2003006/}
}
TY - JOUR AU - Puel, Marjolaine TI - Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2002 SP - 1071 EP - 1090 VL - 36 IS - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2003006/ DO - 10.1051/m2an:2003006 LA - en ID - M2AN_2002__36_6_1071_0 ER -
%0 Journal Article %A Puel, Marjolaine %T Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2002 %P 1071-1090 %V 36 %N 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2003006/ %R 10.1051/m2an:2003006 %G en %F 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 , Tome 36 (2002) no. 6, pp. 1071-1090. doi: 10.1051/m2an:2003006
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