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.
Mots clés : Hall-MHD, Smooth solutions, Well-posedness, Liouville theorem
@article{AIHPC_2014__31_3_555_0, 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}, publisher = {Elsevier}, volume = {31}, number = {3}, year = {2014}, doi = {10.1016/j.anihpc.2013.04.006}, mrnumber = {3208454}, zbl = {1297.35064}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2013.04.006/} }
TY - JOUR AU - Chae, Dongho AU - Degond, Pierre AU - Liu, Jian-Guo TI - Well-posedness for Hall-magnetohydrodynamics JO - Annales de l'I.H.P. Analyse non linéaire PY - 2014 SP - 555 EP - 565 VL - 31 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2013.04.006/ DO - 10.1016/j.anihpc.2013.04.006 LA - en ID - AIHPC_2014__31_3_555_0 ER -
%0 Journal Article %A Chae, Dongho %A Degond, Pierre %A Liu, Jian-Guo %T Well-posedness for Hall-magnetohydrodynamics %J Annales de l'I.H.P. Analyse non linéaire %D 2014 %P 555-565 %V 31 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2013.04.006/ %R 10.1016/j.anihpc.2013.04.006 %G en %F AIHPC_2014__31_3_555_0
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. http://www.numdam.org/articles/10.1016/j.anihpc.2013.04.006/
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