The incompressible Navier-Stokes equations are ρ ( ∂ u ∂ t + ( u ⋅ ∇ ) u ) = − ∇ p + μ ∇ 2 u , {\displaystyle \rho \left({\frac {\partial \mathbf {u} }{\partial t}}+\left(\mathbf {u} \cdot \nabla \right)\mathbf {u} \right)=-\nabla p+\mu \nabla ^{2}\mathbf {u} \,,}