for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using...

Le but principal du present ouvrage est de familiariser les etudiants aux concepts actuels de la modelisation asymptotique et a leurs applications aux ecoulements des fluides Newtoniens dans diverses configurations. La lecture ne presente aucune difficulte particuliere. Cependant le deroulement logique et systematique de l'expose met en place tout le formalisme de la modelisation asymptotique (ch. II a VI). Ce livre est l'un des premiers a presenter un panorama assez vaste sur la modelisation asymptotique des ecoulements de fluides Newtoniens: il s'agit aussi bien des techniques asymptotiques...