Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-30T20:12:24.794Z Has data issue: false hasContentIssue false
  • English
  • Français

Steady tearing mode instabilitieswith a resistivity depending on a flux function

Published online by Cambridge University Press:  15 August 2002

Atanda Boussari ,
Erich Maschke  and
Bernard Saramito
Atanda Boussari
Affiliation:
Laboratoire de Mathématiques Appliquées, Université Blaise Pascal de Clermont-Ferrand, 63177 Aubière Cedex, France. [email protected].
Erich Maschke
Affiliation:
C.E.N. Cadarache, 13108 Saint-Paul-Lez-Durance, France.
Bernard Saramito
Affiliation:
Laboratoire de Mathématiques Appliquées, Université Blaise Pascal de Clermont-Ferrand, 63177 Aubière Cedex, France. [email protected].
Get access

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. Forso doing, it is written in the form (I(.)-T(S,.)) = 0, whereT(S,.) is a compact operator in a suitable space and S is the bifurcationparameter.In this work, the resistivity is not assumed to be a given quantity (as usuallydone in previous papers, see [1,2,5,7,8,9,10], but it depends nonlinearly of the unknowns of the problem; this is the main difficulty, with newmathematical results.We also develop in this paper a 1D code to compute bifurcation points from the trivialbranch (equilibrium state).

Keywords

Bifurcationtearing modesMHD instabilities.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 6 , November 1999 , pp. 1135 - 1148
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)