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Existence and stability of global large strong solutions for the Hall-MHD system

Existence and stability of global large strong solutions for the Hall-MHD system

We consider the 3D incompressible Hall-MHD system and prove a stability theorem for global large solutions under a suitable integrable hypothesis in which one of the parcels is linked to the Hall term. As a byproduct, a class of global strong solutions is obtained with large velocities and small initial …