Some qualitative features of turbulent mixing for far from equilibrium phenomena.
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
Statistics of a vortex filament model.
Sur le temps de vie de la turbulence bidimensionnelle
On sait que toutes les solutions de l’équation de Navier-Stokes dans dont le tourbillon est intégrable convergent lorsque vers un écoulement autosimilaire appelé tourbillon d’Oseen. Dans cet article, nous donnons une estimation du temps nécessaire à la solution pour atteindre un voisinage du tourbillon d’Oseen à partir d’une donnée initiale arbitraire, mais bien localisée en espace. Nous obtenons ainsi une borne supérieure sur le temps de vie de la turbulence bidimensionnelle libre, en fonction...
Sur un algorithme en volumes finis non structurés pour la simulation des flammes turbulentes en chimie infiniment rapide
Sur une équation d'évolution non linéaire liée à la théorie de la turbulence
The structure of Lorenz attractors
Transition from the chaotic turbulence to the turbulent structures.
Turbulence en convection de Rayleigh-Bénard : du chaos temporel aux effets spatiaux
Vorticity dynamics and turbulence models for large-Eddy simulations
We consider in this paper the problem of finding appropriate models for Large Eddy Simulations of turbulent incompressible flows from a mathematical point of view. The Smagorinsky model is analyzed and the vorticity formulation of the Navier–Stokes equations is used to explore more efficient subgrid-scale models as minimal regularizations of these equations. Two classes of variants of the Smagorinsky model emerge from this approach: a model based on anisotropic turbulent viscosity and a selective...
Vorticity dynamics and turbulence models for Large-Eddy Simulations
We consider in this paper the problem of finding appropriate models for Large Eddy Simulations of turbulent incompressible flows from a mathematical point of view. The Smagorinsky model is analyzed and the vorticity formulation of the Navier–Stokes equations is used to explore more efficient subgrid-scale models as minimal regularizations of these equations. Two classes of variants of the Smagorinsky model emerge from this approach: a model based on anisotropic turbulent viscosity and...
Weak solutions of a stochastic model for two-dimensional second grade fluids.
Асимптотика при функций на аттракторе двумерной системы Навье-Стокса в неограниченной плоской области
Исследование распространения осесимметричной турбулентной струи в канале
Нелокальная по времени задача для уравнений динамики баротропного океана
О критериях устойчивости стационарных решений дискретных цепочек каскадного типа.
О нахождении решений краевых задач для стационарных уравнений Стокса и Навье-Стокса, имеющих неогрaниченный интеграл Дирихле