The Navier-Stokes equation evolved over centuries of what we see today. Following is the chronological list of how the Navier-Stokes equation evolved in time:

- 17th century – 1687 – Newton (Mechanics, 3 laws of motion, Calculus(helped in the early concept of inviscid flow)
- 1738 – Bernoulli’s Equation – Pressure differential is the implied acceleration.
- 1740’s – Euler’s equation (closely resembles the N-s equation)
- 1758 – D’Alembert ( Paradox, drag zero on a sphere)
- 1822- Claude Louis Navier (Extra term in Euler’s equation)
- 1828 – Cauchy
- 1829 – Poisson
- 1843 – Saint Venant
- 1845 – George Stokes (mathematical rigorous of NS equation)
- 1934 – Ludwig Prandtl (Most widely used form as we see today)