Solutions statistiques homogènes des équations de Navier-Stokes
Solutions statistiques homogènes des systèmes différentiels paraboliques et du système de Navier-Stokes
Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence
Some rigorous results connected with the conventional statistical theory of turbulence in both the two- and three-dimensional cases are discussed. Such results are based on the concept of stationary statistical solution, related to the notion of ensemble average for turbulence in statistical equilibrium, and concern, in particular, the mean kinetic energy and enstrophy fluxes and their corresponding cascades. Some of the results are developed here in the case of nonsmooth boundaries and a less regular...
Space averages and homogeneous fluid flows.
Statistical study of Navier-Stokes equations, I
Statistical study of Navier-Stokes equations, II
Sur une équation d'évolution non linéaire liée à la théorie de la turbulence