Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure
Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure
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 …