11. Which is an exact solution of the two-dimensional Navier-- Stokes equations . 12. They do not depend on the elasticity or the Navier-Stokes equations . 13. Then the incompressible Navier Stokes equations are best visualised by dividing for the density: 14. Each term in any case of the Navier Stokes equations is a body force. 15. Then, the Navier-Stokes equations , together with the rheological model, reduce to a single equation: 16. Leonhard Euler would go on to publish the Navier-Stokes equations . 17. The Navier Stokes equations were the ultimate target of development. 18. Then the Navier Stokes equations , without additional forcing, reduce to: 19. The Navier Stokes equations applied to atmospheric motion can be simplified by geostrophic approximation. 20. As a result, analytical solutions for the Navier-Stokes equations still remain a tough research topic.
