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

✍ Scribed by A. Boussari; B. Saramito

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 415 KB
• Volume: 12
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(99)00065-8

✦ Synopsis

We consider tearing mode instabilities when the resistivity depends on a flux function (¢) 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. ~