Abstract
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.
Citation
Maicon J. Benvenutti. Lucas C.F. Ferreira. "Existence and stability of global large strong solutions for the Hall-MHD system." Differential Integral Equations 29 (9/10) 977 - 1000, September/October 2016. https://doi.org/10.57262/die/1465912613