A method of super and subsolutions applied to the localization of solutions of the plasma axisymmetric equilibrium in a tokamak
This paper deals with a class of free boundary value problems issued from the physics of confined plasmas. By the use of the maximum principle and of a fixed point technique, analogous to the one of A. Bensoussan and J.-L. Lions for quasi-variational inequalities, modelling stock management problems, we obtain a localization of the solution in an interval order, smaller than the interval order of the initial sub and super-solution data of the successive approximation algorithm. We need here to use an isotone-antitone fixed-point mapping.
Bibliographic Reference: An article published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 330, Issue 2, 15 January 2000, Pages 153-156
Availability: This article can be accessed online by subscribers, and can be ordered online by non-subscribers http://dx.doi.org/10.1016/S0764-4442%2800%2900118-X (here).
Record Number: 200315734 / Last updated on: 2003-01-10
Original language: fr
Available languages: fr