Well-posedness for Hall-magnetohydrodynamics
نویسندگان
چکیده
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. Acknowledgements: The first and third authors wish to thank the hospitality of the Institut de Mathématiques de Toulouse, France, where this research has been carried through, under funding from the Centre National de la Recherche Scientifique. The research of the first author is also supported partially by NRF Grant no. 2006-0093854, and by the Chung-Ang University Research Grants in 2012. The second authors acknowledges support by the french ’Agence Nationale pour la Recherche (ANR)’ in the frame of the contract ’BOOST’ (ANR Blanc 2010).
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