EXISTENCE THEOREM FOR A GRAD-MERCIER EQUATION OF PLASMA PHYSICS
In this article we prove that there is a variational solution of a Grad-Mercier equation, which is also a classical solution. AMS(MOS) subject classifications (1980). Primary 35 J.20, 35J25 0. Introduction The plasma at equilibrium is governed by the magneto-hydrodynamic equation. Grad [1], assuming that the fluid is adiabatic, has proposed a function Ρ in term of u: Ρ = μ (u) (g) Y where μ(u) is a scalar function of u, and s is the area of the level set This research was partially supported by the National Science Council, Republic of China