Reduced resistive MHD in Tokamaks with general density

Després, Bruno; Sart, Rémy

ESAIM: Mathematical Modelling and Numerical Analysis , Tome 46 (2012) no. 5, pp. 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.

Classification : 93A30, 35Q35, 76E25, 82D10
Mots clés : tokamaks, reduced magnetohydrodynamics

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