Reduced resistive MHD with general density I: Model and stability results
Résumé
The aim of this paper is to derive a general model for the reduced resistive MagnetoHydroDynamics 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 stability of global weak solutions, on the one hand, and the stability of the fundamental mode around initial data, on the other hand, are investigated.
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