Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure

Abstract

We establish an existence result for the three-dimensional MHD equations with p ≠ const in tori T without symmetry. More precisely, our theorems insure the existence of sharp boundary solutions for tori whose departure from axisymmetry is sufficiently small; they allow for solutions to be constructed with an arbitrary number of pressure jumps. © 1996 John Wiley & Sons, Inc.