Existence and Uniqueness Results for Double-Free-Boundary Problems in Fluid Dynamics

Abstract

In two space dimensions, we study a general double-free-boundary problem which models a stream flowing through a gravitaional potentiay. ntial-energy terrain. The existence theorem generalizes (by a different proof) a result of A. Beurling. We study the uniqueness question kn two ways.

103 pages. The main changes in the current version are in Section 4.2