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

Atanda BoussariErich MaschkeBernard Saramito — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We consider plasma tearing mode instabilities when the resistivity depends on a flux function (), 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 , where is a compact operator in a suitable space and 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...

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