| Issue |
ESAIM: M2AN
Volume 46, Number 5, September-October 2012
|
|
|---|---|---|
| Page(s) | 1081 - 1106 | |
| DOI | https://doi.org/10.1051/m2an/2011078 | |
| Published online | 13 February 2012 | |
Reduced resistive MHD in Tokamaks with general density
1
Laboratoire Jacques-Louis Lions, Université Paris VI,
4 place Jussieu,
75015
Paris,
France
despres@ann.jussieu.fr
2
École Supérieure d’Ingénieurs Léonard de Vinci,
92916
Paris-La Défense,
France
remy.sart@devinci.fr
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
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