A nonstandard nonlinear boundary-value problem for harmonic functions
Abstract
Existence and uniqueness are proved for a nonstandard, nonlinear boundary-value problem for 2-dimensional harmonic functions. The problem models an ideal flow-field, 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;
- Cauchy-Riemann Equations;
- Neumann Problem;
- Nonlinearity;
- Singularity (Mathematics);
- Fluid Mechanics and Heat Transfer