# Reduced resistive MHD in Tokamaks with general density

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 46, Issue: 5, page 1081-1106
- ISSN: 0764-583X

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topDesprés, Bruno, and Sart, Rémy. "Reduced resistive MHD in Tokamaks with general density." ESAIM: Mathematical Modelling and Numerical Analysis 46.5 (2012): 1081-1106. <http://eudml.org/doc/222141>.

@article{Després2012,

abstract = {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.},

author = {Després, Bruno, Sart, Rémy},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Tokamaks; reduced Magnetohydrodynamics; tokamaks; reduced magnetohydrodynamics},

language = {eng},

month = {2},

number = {5},

pages = {1081-1106},

publisher = {EDP Sciences},

title = {Reduced resistive MHD in Tokamaks with general density},

url = {http://eudml.org/doc/222141},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Després, Bruno

AU - Sart, Rémy

TI - Reduced resistive MHD in Tokamaks with general density

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2012/2//

PB - EDP Sciences

VL - 46

IS - 5

SP - 1081

EP - 1106

AB - 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.

LA - eng

KW - Tokamaks; reduced Magnetohydrodynamics; tokamaks; reduced magnetohydrodynamics

UR - http://eudml.org/doc/222141

ER -

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