On the uniqueness and asymptotic behaviour of plasma corners (Q1340789)

Summary: In [\textit{R. Kaiser} and \textit{D. Lortz}, Z. Angew. Math. Mech. 73, No. 3, 165-171 (1993; Zbl 0798.76097)] 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: We first remark that the existence of such solutions (so-called plasma corners) can be proved by using a more general approach. Then we show uniqueness for small parameters, and finally we derive exact formulae describing the asymptotic behaviour of solutions at the corner.