Well-posedness for Hall-magnetohydrodynamics

作者：Chae, Dongho; Degond, Pierre^*; Liu, Jian-Guo

来源：ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31(3): 555-565.

DOI：10.1016/j.anihpc.2013.04.006

• Hall-MHD
• Smooth solutions
• Well-posedness
• Liouville theorem

We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resistive, viscous or inviscid Hall-MHD model. We also show a Liouville theorem for the stationary solutions.

• 出版日期2014-5