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.
Classification : 76X05, 76N99, 81Q99, 82D10, 35Q40
Mots clés : 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}, pages = {1071--1090}, publisher = {EDP-Sciences}, volume = {36}, number = {6}, year = {2002}, doi = {10.1051/m2an:2003006}, zbl = {1137.76836}, mrnumber = {1958659}, language = {en}, url = {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, Tome 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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