Navier–Stokes Equation Natural & Formal Sciences Dictionary Definition A system of partial differential equations expressing conservation of momentum and mass for a Newtonian fluid: ρ(∂u/∂t + u·∇u) = −∇p + μΔu + f together with the mass conservation constraint (for incompressible flow) ∇·u = 0.
Navier–Stokes Equation Natural & Formal Sciences Dictionary Definition A system of partial differential equations expressing conservation of momentum and mass for a Newtonian fluid: ρ(∂u/∂t + u·∇u) = −∇p + μΔu + f together with the mass conservation constraint (for incompressible flow) ∇·u = 0.