Steady tearing mode instabilities with a resistivity depending on a flux function

Boussari, Atanda, Maschke, Erich, and Saramito, Bernard. "Steady tearing mode instabilities with a resistivity depending on a flux function ." ESAIM: Mathematical Modelling and Numerical Analysis 33.6 (2010): 1135-1148. <http://eudml.org/doc/197546>.

@article{Boussari2010,
abstract = { We consider plasma tearing mode instabilities when the resistivity depends on a flux function (ψ), for the plane slab model. This problem, represented by the MHD equations, is studied as a bifurcation problem. For so doing, it is written in the form (I(.)-T(S,.)) = 0, where T(S,.) is a compact operator in a suitable space and S is the bifurcation parameter. In this work, the resistivity is not assumed to be a given quantity (as usually done in previous papers, see [1,2,5,7,8,9,10], but it depends non linearly of the unknowns of the problem; this is the main difficulty, with new mathematical results. We also develop in this paper a 1D code to compute bifurcation points from the trivial branch (equilibrium state). },
author = {Boussari, Atanda, Maschke, Erich, Saramito, Bernard},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Bifurcation; tearing modes; MHD instabilities.; plasma tearing mode instabilities; plane slab model; MHD equations; bifurcation problem; compact operator; bifurcation parameter},
language = {eng},
month = {3},
number = {6},
pages = {1135-1148},
publisher = {EDP Sciences},
title = {Steady tearing mode instabilities with a resistivity depending on a flux function },
url = {http://eudml.org/doc/197546},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Boussari, Atanda
AU - Maschke, Erich
AU - Saramito, Bernard
TI - Steady tearing mode instabilities with a resistivity depending on a flux function
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 6
SP - 1135
EP - 1148
AB - We consider plasma tearing mode instabilities when the resistivity depends on a flux function (ψ), for the plane slab model. This problem, represented by the MHD equations, is studied as a bifurcation problem. For so doing, it is written in the form (I(.)-T(S,.)) = 0, where T(S,.) is a compact operator in a suitable space and S is the bifurcation parameter. In this work, the resistivity is not assumed to be a given quantity (as usually done in previous papers, see [1,2,5,7,8,9,10], but it depends non linearly of the unknowns of the problem; this is the main difficulty, with new mathematical results. We also develop in this paper a 1D code to compute bifurcation points from the trivial branch (equilibrium state).
LA - eng
KW - Bifurcation; tearing modes; MHD instabilities.; plasma tearing mode instabilities; plane slab model; MHD equations; bifurcation problem; compact operator; bifurcation parameter
UR - http://eudml.org/doc/197546
ER -