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The aim of this paper is to derive a general model for reduced viscous and resistive Magnetohydrodynamics (MHD) and to study its mathematical structure. The model is established for arbitrary density profiles in the poloidal section of the toroidal geometry of Tokamaks. The existence of global weak solutions, on the one hand, and the stability of the fundamental mode around initial data, on the other hand, are investigated.
@article{M2AN_2012__46_5_1081_0,
author = {Despr\'es, Bruno and Sart, R\'emy},
title = {Reduced resistive {MHD} in {Tokamaks} with general density},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1081--1106},
publisher = {EDP-Sciences},
volume = {46},
number = {5},
year = {2012},
doi = {10.1051/m2an/2011078},
mrnumber = {2916373},
zbl = {1267.76034},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011078/}
}
TY - JOUR AU - Després, Bruno AU - Sart, Rémy TI - Reduced resistive MHD in Tokamaks with general density JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2012 SP - 1081 EP - 1106 VL - 46 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011078/ DO - 10.1051/m2an/2011078 LA - en ID - M2AN_2012__46_5_1081_0 ER -
%0 Journal Article %A Després, Bruno %A Sart, Rémy %T Reduced resistive MHD in Tokamaks with general density %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2012 %P 1081-1106 %V 46 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011078/ %R 10.1051/m2an/2011078 %G en %F M2AN_2012__46_5_1081_0
Després, Bruno; Sart, Rémy. Reduced resistive MHD in Tokamaks with general density. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 46 (2012) no. 5, pp. 1081-1106. doi: 10.1051/m2an/2011078
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