A remarkable operator version of the Navier-Stokes equation
Abstract
The Navier-Stokes equation is transformed into a closed nonlinear equation for the convected curl operator. It is shown how Lie algebraic methods can be employed to solve the obtained double-commutator equation. The proposed operator equation provides a way to the further development of the Navier-Stokes fluid flow theory.
- Publication:
-
Nuovo Cimento Lettere
- Pub Date:
- March 1980
- Bibcode:
- 1980NCimL..27..257R
- Keywords:
-
- Flow Theory;
- Fluid Dynamics;
- Navier-Stokes Equation;
- Operators (Mathematics);
- Lie Groups;
- Vorticity;
- Fluid Mechanics and Heat Transfer