##  [Navier–Stokes Equation](/index.php/navier-stokes-equation) 

  ##  [Navier–Stokes Equation](https://natural.quantumdictionary.io/navier-stokes-equation-0) 

  

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**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.