Navier-Stokes equations

The Navier-Stokes equation is an equation in fluid mechanics that states:

$\rho {\frac {D\mathbf {V} }{Dt}}=-\nabla p+\mu \nabla ^{2}\mathbf {V} +\rho \mathbf {g}$

where $\nabla p$ is the pressure difference (expressed as the partial derivative of pressure in each dimension), Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{D \mathbf{V}}{D t}} is the total derivative of velocity, $\mu$ is the kinematic viscosity of the fluid, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \rho} is the density of the fluid, and $\mathbf {g}$ is the gravitational acceleration.