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Well-posedness for Hall-magnetohydrodynamics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2014Embargo end date: 01 Jan 2012 United Kingdom, France Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, volume 31, pages 555-565 (issn: 0294-1449, eissn: 1873-1430,

Authors: Chae, Dongho; Degond, Pierre; Liu, Jian-Guo;

doi: 10.1016/j.anihpc.2013.04.006 , 10.48550/arxiv.1212.3919

arXiv: http://arxiv.org/abs/1212.3919

handle: 10044/1/21593

Well-posedness for Hall-magnetohydrodynamics

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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.

Countries

United Kingdom, France

Related Organizations

French National Centre for Scientific Research
France
University of Toulouse
France
INSA de Toulouse
France
Imperial College London
United Kingdom
Chung-Ang University
Korea (Republic of)

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Keywords

Mathematics - Analysis of PDEs, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Mathematical Physics, 510, Analysis of PDEs (math.AP)

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