Geodesic
Well-posedness for Hall-magnetohydrodynamics
Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 3, pp. 555-565
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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.

DOI : 10.1016/j.anihpc.2013.04.006
Classification : 35L60, 35K55, 35Q80
Keywords: Hall-MHD, Smooth solutions, Well-posedness, Liouville theorem 
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     author = {Chae, Dongho and Degond, Pierre and Liu, Jian-Guo},
     title = {Well-posedness for {Hall-magnetohydrodynamics}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {555--565},
     year = {2014},
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Chae, Dongho; Degond, Pierre; Liu, Jian-Guo. Well-posedness for Hall-magnetohydrodynamics. Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 3, pp. 555-565. doi: 10.1016/j.anihpc.2013.04.006

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