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Reduced resistive MHD in Tokamaks with general density

Published online by Cambridge University Press:  13 February 2012

Bruno Després and
Rémy Sart
Bruno Després
Affiliation:
Laboratoire Jacques-Louis Lions, Université Paris VI, 4 place Jussieu, 75015 Paris, France. despres@ann.jussieu.fr
Rémy Sart
Affiliation:
École Supérieure d’Ingénieurs Léonard de Vinci, 92916 Paris-La Défense, France; remy.sart@devinci.fr

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.

Keywords

Tokamaksreduced Magnetohydrodynamics

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 , Issue 5 , September 2012, pp. 1081 - 1106
Copyright
© EDP Sciences, SMAI, 2012

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