Conservation laws for the Navier-Stokes equations
Abstract
A wide set of conservation laws for the Navier-Stokes equations was derived, depending on derivatives of the velocity field of the second and higher orders. The conserved currents are described in terms of Lie symmetries and adjoint variables, which give rise to a complementary variational principle for the Navier-Stokes equations. The presented construction may be extended systematically to any system of nonlinear field equations.
- Publication:
-
International Journal of Engineering Science
- Pub Date:
- 1986
- Bibcode:
- 1986IJES...24.1295C
- Keywords:
-
- Computational Fluid Dynamics;
- Conservation Laws;
- Navier-Stokes Equation;
- Lie Groups;
- Nonlinear Equations;
- Partial Differential Equations;
- Variational Principles;
- Fluid Mechanics and Heat Transfer