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Well-posedness for Hall-magnetohydrodynamics
- Authors
- Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
- Issue Date
- May-2014
- Publisher
- GAUTHIER-VILLARS/EDITIONS ELSEVIER
- Keywords
- Hall-MHD; Smooth solutions; Well-posedness; Liouville theorem
- Citation
- ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.31, no.3, pp 555 - 565
- Pages
- 11
- Journal Title
- ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
- Volume
- 31
- Number
- 3
- Start Page
- 555
- End Page
- 565
- ISSN
- 0294-1449
- Abstract
- 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. (c) 2013 Elsevier Masson SAS. All rights reserved.
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