Boundary plasmas for a confined plasma problem in dimensional two

We consider a free boundary problem arising in the study of the equilibrium of a confined Tokamak plasma in dimensional two. By choosing a suitable flux constant on each connected component of the boundary of the domain, we construct solutions with many sharp peaks near the boundary and prove that the number of solutions of this problem goes to infinity as parameter tends to infinity.

Automated summary

This article investigates a free boundary problem that arises in the study of equilibrium for a confined Tokamak plasma in two dimensions. By selecting a suitable flux constant on each connected component of the domain boundary, solutions with multiple sharp peaks near the boundary are constructed and it is proven that the number of solutions to this problem approaches infinity as the parameter tends to infinity.