2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 95-102.

Title: Green's functions and closing in pressure in partially 
       nonhomogeneous turbulence

Authors: Mohammed Oucamah Cherkaoui Malki (Faculte des Sciences Dhar Mehraz, morocco)
         Omari Alaoui Elkebir (Faculte des Sciences Dhar Mehraz, morocco)
 
Abstract: 
 In this work, we are interested with the numerical solution of the equations
 of the correlations -or moment of order two - associated with the
 Navier-Stokes equations. The method of closing in pressure which is based on
 the elimination of the terms of pressure present in these equations by using
 the functions of Green, is completely re-examined. We underline the Green's
 functions divergence problems which occurred with the traditional method of
 closing. Then we establish a new formalism which makes it possible to
 circumvent these problems. We present and confront in the course of our
 presentation two methods of construction of Green's functions according to the
 choice of the boundary conditions, namely the method of images and the
 spectral method.

Published October 15, 2004.
Math Subject Classifications: 65Z05, 65R10, 65R32, 76F55.
Key Words: Navier-Stokes; nonlinearity; Green's function; 
  quasi spectral analysis;  mathematical formalism;  data construction.