Navier Stokes Equation A Million Dollar Question in Fluid Mechanics
In physics, the Navier–Stokes equations are a set of partial differential equations which describe the motion of viscous fluid substances, named after French engineer and physicist Claude-Louis Navier and Anglo-Irish physicist and mathematician George Gabriel Stokes.
The Navier–Stokes equations mathematically express conservation of momentum and conservation of mass for Newtonian fluids. They are sometimes accompanied by an equation of state relating pressure, temperature and density. ( Learn more )
The Navier-Stokes Equations describe everything that flows in the universe. If you can prove that they have smooth solutions, you’ll win a million dollars.