A nonstandard nonlinear boundaryvalue problem for harmonic functions
Abstract
Existence and uniqueness are proved for a nonstandard, nonlinear boundaryvalue problem for 2dimensional harmonic functions. The problem models an ideal flowfield, and a few cases of applied interest are considered. Slight generalizations are derived in the appendix.
 Publication:

Quarterly of Applied Mathematics
 Pub Date:
 October 1983
 Bibcode:
 1983QApMa..41..289G
 Keywords:

 Boundary Value Problems;
 Existence Theorems;
 Flow Theory;
 Harmonic Functions;
 Inviscid Flow;
 Uniqueness Theorem;
 CauchyRiemann Equations;
 Neumann Problem;
 Nonlinearity;
 Singularity (Mathematics);
 Fluid Mechanics and Heat Transfer