The Monge-Ampere equation and two-dimensional incompressible flows
Abstract
It is shown that the solutions of the two-dimensional Navier-Stokes equation on a domain V are determined by the knowledge of the pressure Laplacian on V and the knowledge of the stream function on partial derivative of V via a Monge-Ampere equation. A case of uniqueness is studied and applications to coherent structures analysis are developed.
- Publication:
-
Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
- Pub Date:
- July 1990
- Bibcode:
- 1990CRASM.311...33L
- Keywords:
-
- Incompressible Flow;
- Monge-Ampere Equation;
- Two Dimensional Flow;
- Flow Distribution;
- Navier-Stokes Equation;
- Pressure Distribution;
- Fluid Mechanics and Heat Transfer