Reduced resistive MHD in Tokamaks with general density

Bruno Després; Rémy Sart

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

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

Abstract

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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.

How to cite

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Després, 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 -

References

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