2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 103-108.

Title: Quasi spectral data construction in two
       points in Partially nonhomogeneous turbulence

Authors: Mohammed oucamah Cherkaoui Malki (Faculte des Sciences Dhar Mehraz, Morocco)
        Salaheddine Sayouri (Faculte des Sciences Dhar Mehraz, Morocco)
 
Abstract: 
 In this work, we study the numerical solution of the equations
 of correlations -or moment of order two - associated with the
 Navier-Stokes equations. We treat the spectral transformations of these
 equations by admitting directions of homogeneities; the problem of finding
 suitable initial conditions within the framework of the numerical resolution
 and the writing in two points is dealt with. We provide a new method of
 construction of these initial conditions in an intermediate space between
 physical space and spectral space (quasi spectral space). This original method
 departs from the formalism known in the homogeneous case and takes into
 account the presence of the walls. It is all the more interesting as the
 experimental data never give enough point of calculation making it possible to
 obtain these quantities in a quasi spectral space.

Published October 15, 2004.
Math Subject Classifications: 65Z05, 65R10, 76F55, 42B99.
Key Words: Navier-Stokes; nonlinearity; Green's function; 
mathematical formalism; quasi spectral analysis; data construction.