Incompressibility and Existence of Navier- Stokes Equations

Abstract

In this paper, we represents incompressible Navier-Stokes equations, i.e. fluid is incompressible in the domain . Navier-Stokes equations have wide applications in fluid mechanics, air and sea navigation. Mathematicians have not proven yet these equations. In this paper we describe incompressibility and existence of these equations in the domain (n=2), Navier-Stokes problem is now included in the Millenium problems of Clay mathematics Institute.