Existence and uniqueness proofs for the problem of the interaction of jets
Abstract
An investigation is conducted regarding the interaction of ideal incompressible jets. The existence proof presented makes use of a procedure for the explicit representation of the solution in form of a series expansion using dimensionless parameters. The procedure is based on the function-analytical method which was developed by Zeidler (1971) for nonlinear boundary-value problems involving ideal liquids. The proof of uniqueness given is based on the comparative method reported by Gilbarg (1960) for the study of symmetrical Helmholtz and Kirchhoff flows.
- Publication:
-
Indiana University Mathematics Journal
- Pub Date:
- August 1977
- Bibcode:
- 1977IUMJ...26..707S
- Keywords:
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- Existence Theorems;
- Incompressible Flow;
- Jet Mixing Flow;
- Uniqueness Theorem;
- Boundary Value Problems;
- Channel Flow;
- Free Boundaries;
- Ideal Fluids;
- Series Expansion;
- Steady Flow;
- Fluid Mechanics and Heat Transfer