The Navier-Stokes equation (Q1404171)

This is a short tutorial paper which makes the reader familiar with incompressible Navier-Stokes equations. After a discussion of mechanical meaning of Navier-Stokes equations (``dry'' water and ``wet'' water), the author mentions some existence and regularity results, and describes selected numerical methods for solving Navier-Stokes equations (method of characteristics and Galerkin method). Short biographies of C.L.M.H. Navier and G.G. Stokes conclude the paper.