ON THE BEHAVIOR OF THE FREE BOUNDARY FOR A ONE-PHASE BERNOULLI PROBLEM WITH MIXED BOUNDARY CONDITIONS

Abstract

This paper is concerned with the study of the behavior of the free boundary for a class of solutions to a two-dimensional one-phase Bernoulli free boundary problem with mixed periodic-Dirichlet boundary conditions. It is shown that if the free boundary of a symmetric local minimizer approaches the point where the two different conditions meet, then it must do so at an angle of pi/2.

Keywords

• Free boundary problems
• boundary regularity
• contact points