The Navier-Stokes equations are the foundation of fluid mechanics and govern the motion of a non-turbulent, Newtonian fluid. There are equations for both compressible and incompressible fluids.
The equations themselves are derived from the fundamental equations below that describe the behaviour of fluids.
The Navier Stokes equations is a subject that captures the interest of many scientists, there is an average of 15-20 published papers per week dedicated to the subject.
For further information you should visit Navier Stokes equations Net (NSenet). The objective of this website is to connect researchers who work in the field of the Navier-Stokes equations and related nonlinear problems, from a mathematical, engineering and computational point of view.