Well-posedness for Hall-magnetohydrodynamics
  We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also show a Liouville theorem for the stationary solutions. 
Dongho Chae, Pierre Degond (IMT), Jian-Guo Liu
math-ph math.AP math.MP