Existence and stability of global large strong solutions for the Hall-MHD system
Analysis of PDEs
2015-04-28 v2
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 -strong solutions which improves previous regularity conditions on initial data.
Keywords
Cite
@article{arxiv.1412.8516,
title = {Existence and stability of global large strong solutions for the Hall-MHD system},
author = {Maicon J. Benvenutti and Lucas C. F. Ferreira},
journal= {arXiv preprint arXiv:1412.8516},
year = {2015}
}
Comments
21 pages