Existence of regular solution and attractor for tearing mode instabilities with a resistivity depending on a flux function Original Research Article

We consider tearing mode instabilities when the resistivity depends on a flux function (ψ) for a bidimensional layer of plasma. This problem modelized by M.H.D. equations is written in terms of flux functions, and in this work, we first show, using a fixed-point method, existence of a local regular solution of the considered problem. Next we show existence of a global solution, and we end this paper with existence of a global attractor.