Reduced resistive MHD in Tokamaks with general density
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 46 (2012) no. 5, p. 1081-1106

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.

DOI : https://doi.org/10.1051/m2an/2011078
Classification:  93A30,  35Q35,  76E25,  82D10
Keywords: tokamaks, reduced magnetohydrodynamics
@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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {5},
     year = {2012},
     pages = {1081-1106},
     doi = {10.1051/m2an/2011078},
     zbl = {1267.76034},
     mrnumber = {2916373},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2012__46_5_1081_0}
}
Després, Bruno; Sart, Rémy. Reduced resistive MHD in Tokamaks with general density. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 46 (2012) no. 5, pp. 1081-1106. doi : 10.1051/m2an/2011078. http://www.numdam.org/item/M2AN_2012__46_5_1081_0/

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