Well-posedness for Hall-magnetohydrodynamics

Dongho Chae (1) , Pierre Degond (2) , Jian-Guo Liu (3)

1 Department of Mathematics
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 Department of Physics and Department of Mathematics

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.

Domaines: Physique mathématique [math-ph]

Dongho Chae, Pierre Degond, Jian-Guo Liu. Well-posedness for Hall-magnetohydrodynamics. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014, 31, pp.555-565. ⟨hal-00765702⟩