# A formula for the solution of the Navier-Stokes equation based on a method of Chorin

**Marsden, J. E.
**

*Bull. Amer. Math. Soc.*, **80**, (1974), 154-158

### Abstract:

Recently, A. Chorin has found a numerical scheme for solving the Navier-Stokes equations which has the pleasing feature of not breaking down at high Reynolds numbers *R*
. The purpose of this announcement is to present a formula which is designed to establish the convergence of Chorin's time step iteration procedure, assuming that the relevant equations (heat equation and Euler's equations) are solved exactly at each step.