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Problems of MHD stability in thermonuclear fusion plasmas. (English) Zbl 0897.76036
We begin with a short presentation of the equilibrium configuration reached by a plasma in a tokamak, and of the main types of instabilities of such an equilibrium, when the plasma is described by the magnetohydrodynamic equations. Then we give some mathematical results concerning bifurcation theory and nonlinear stability for three types of instabilities; a new three-dimensional finite element code is also presented, with new mathematical and numerical results.
MSC:
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76M10 Finite element methods applied to problems in fluid mechanics
Software:
ERATO
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