Existence and Uniqueness Results for Double-Free-Boundary Problems in Fluid Dynamics
Classical Analysis and ODEs
2016-05-10 v5 Analysis of PDEs
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.
Cite
@article{arxiv.1204.1070,
title = {Existence and Uniqueness Results for Double-Free-Boundary Problems in Fluid Dynamics},
author = {Andrew Acker},
journal= {arXiv preprint arXiv:1204.1070},
year = {2016}
}
Comments
103 pages. The main changes in the current version are in Section 4.2