%0 Journal Article
%T Existence and stability of global large strong solutions for the Hall-MHD system
%A Maicon J. Benvenutti
%A Lucas C. F. Ferreira
%J Mathematics
%D 2014
%I arXiv
%X 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 magnetic fields. Moreover, we prove the local-in-time well-posedness of $H^{2}$-strong solutions which improves previous regularity conditions on initial data.
%U http://arxiv.org/abs/1412.8516v2