On the Uniqueness and Asymptotic Behaviour of Plasma Corners

Abstract

In [2] the existence of solutions to a certain free boundary problem describing a plasma-vacuum interface in plane geometry was shown. This paper is a supplement to the investigation of R. Kaiser and D. Lortz in [2]: We shall first remark that the existence of such solutions (so-called plasma corners) can be proved by using a more general approach. Then we shall show uniqueness for small parameters, and finally we shall derive exact formulas describing the asymptotic behaviour of solutions at the corner.