Volume 46, Number 5, September-October 2012
|Page(s)||1081 - 1106|
|Published online||13 February 2012|
Reduced resistive MHD in Tokamaks with general density
Laboratoire Jacques-Louis Lions, Université Paris VI,
4 place Jussieu,
2 École Supérieure d’Ingénieurs Léonard de Vinci, 92916 Paris-La Défense, France
Received: 23 December 2010
Revised: 2 December 2011
The aim of this paper is to derive a general model for reduced viscous and resistive Magnetohydrodynamics (MHD) and to study its mathematical structure. The model is established for arbitrary density profiles in the poloidal section of the toroidal geometry of Tokamaks. The existence of global weak solutions, on the one hand, and the stability of the fundamental mode around initial data, on the other hand, are investigated.
Mathematics Subject Classification: 93A30 / 35Q35 / 76E25 / 82D10
Key words: Tokamaks / reduced Magnetohydrodynamics
© EDP Sciences, SMAI, 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.