The work described here shows that the known variational principle for the Navier- Stokes equations and the adjoint system can be modified to produce a set of Euler- Lagrange variational equations which have the same order and same solution as the Navier-Stokes equations provided the adjoint system has a unique solution, and provided in the steady state case, that the Reynolds number remains finite.
Scholarly Commons Citation
Sajjadi, S. (2017). Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations. , (). Retrieved from https://commons.erau.edu/publication/781