## Adhémar Jean Claude Barré de Saint-Venant

In 1843 he published the correct derivation of the **Navier** -Stokes equations for a viscous flow [ 2 ] and was the first to "properly identify the coefficient of viscosity and its role as a multiplying factor for the velocity gradients in the flow". Although he published before Stokes the

**wikipedia.org**| 2010/10/2 5:32:40

## Navier–Stokes existence and smoothness

The **Navier–Stokes** equations are one of the pillars of fluid mechanics . These equations describe the motion of a fluid (that is, a liquid or a gas) in space. Solutions to the **Navier–Stokes** equations are used in many practical applications. However, theoretical understanding of the solutions

**wikipedia.org**| 2011/4/6 2:10:50

## Derivation of the Navier–Stokes equations

The intent of this article is to highlight the important points of the derivation of the **Navier–Stokes** equations as well as the application and formulation for different families of fluids. Contents 1 Basic assumptions 2 The Material derivative 3 Conservation laws 3.1 Conservation

**wikipedia.org**| 2010/9/26 10:43:01

## Reynolds-averaged Navier–Stokes equations

The Reynolds-averaged **Navier–Stokes** equations (or RANS equations) are time-averaged [ 1 ] equations of motion for fluid flow . The idea behind the equations is Reynolds decomposition , whereby an instantaneous quantity is decomposed into its time-averaged and fluctuating quantities, an

**wikipedia.org**| 2011/4/13 15:15:55

## Linear elasticity

Equations governing a linear elastic boundary value problem are based on three tensor partial differential equations for the balance of linear momentum and six infinitesimal strain - displacement relations. The systems of differential equations is completed by a set of linear algebraic

**wikipedia.org**| 2011/5/4 19:06:21