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reduced magnetohydrodynamics

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Reduced resistive MHD in Tokamaks with general density
Bruno Després, Rémy Sart
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 46 / Issue 5 / September 2012

Published online by Cambridge University Press:

13 February 2012, pp. 1081-1106

Print publication:

September 2012
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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.