Modelling of the interaction of small and large eddies in two dimensional turbulent flows

 Access to full text

 Full (PDF)

1. [1] H. BRÉZIS and T. GALLOUET, « Nonlinear Schroedinger evolution equation», Nonlinear Analysis Theory Methods and Applications, Vol.4, 1980, p. 677. Zbl0451.35023MR582536
2. [2] C. FOIAS, O. MANLEY and R. TEMAM, « Sur l'interaction des petits et grands tourbillons dans des écoulements turbulents», C.R. Ac. Sc.Paris, 305, Série I, 1987; pp. 497-500. Zbl0624.76072MR916319
3. [3] C. FOIAS, O. MANLEY and R. TEMAM, to appear. MR1205478
4. [4] C. FOIAS, O. MANLEY, R. TEMAM and Y. TREVE, « Asymptotic analysis of the Navier-Stokes equations», Physica 6D, 1983, pp. 157-188. Zbl0584.35007MR732571
5. [5] C. FOIAS, B. NICOLAENKO, G. SELL and R. TEMAM, « Variétés inertielles pour l'équation de Kuramoto-Sivashinsky»,C. R. Ac. Sc. Paris, 301, Série I, 1985pp. 285-288 and « Inertial Manifolds for the Kuramoto-Sivashinsky équations and an estimate of their lowest dimension», J. Math. Pure AppL, 1988. Zbl0591.35063MR803219
6. [6] C. FOIAS and G. PRODI, « Sur le comportement global des solutions non stationnaires des équations de Navier-Stokes en dimension 2», Rend. Sem. Mat. Padova, Vol. 39, 1967, pp. 1-34. Zbl0176.54103MR223716
7. [7] C. FOIAS and R. TEMAM, « Some analytic and geometrie properties of the solutions of the Navier-Stokes equations», J. Math. Pure Appl, Vol.58, 1979, pp. 339-368. Zbl0454.35073MR544257
8. [8] C. FOIAS and R. TEMAM, Finite parameter approximative structures of actual flows», in Nonlinear Problems : Present and Future, A. R. Bishop, D. K. Campbell, B. Nicolaenko (eds.), North Holland, Amsterdam, 1982. Zbl0493.76026MR675639
9. [9] A. N. KOLMOGOROV, C. R. Ac. Sc URSS, Vol.30, 1941, p. 301; Vol. 31, 1941, p. 538; Vol. 32, 1941, p. 16. 
10. [10] R. H. KRAICHNAN, « Inertial ranges in two dimensional turbulence», Phys. Fluids, Vol. 10, 1967, pp. 1417-1423. 
11. [11] G. MÉTIVIER, « Valeurs propres d'opérateurs définis sur la restriction de systèmes variationnels à des sous-espaces», J. Math. Pure Appl., Vol. 57, 1978, pp. 133-156. Zbl0328.35029MR505900
12. [12] R. TEMAM, Navier-Stokes Equations, 3rd Revised Ed., North Holland, Amsterdam, 1984. Zbl0568.35002
13. [13] R. TEMAM, Navier-Stokes Equations and Nonlinear Functional Analysis, NSF/CBMS Regional Conferences Series in Appl. Math., SIAM, Philadelphia, 1983. Zbl0833.35110MR764933
14. [14] R. TEMAM, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, 1988. Zbl0662.35001MR953967
15. [15] E. TITI, Article in preparation. 
16. [16] J. H. WELLS and L. R. WILLIAMS, Imbeddings and Extensions in Analysis, Springer-Verlag, Heidelberg, New York Zbl0324.46034

1. Roger Temam, Induced trajectories and approximate inertial manifolds
2. Ciprian Foias, Michael S. Jolly, Oscar P. Manley, Limiting behavior for an iterated viscosity
3. Ciprian Foias, Michael S. Jolly, Oscar P. Manley, Limiting Behavior for an Iterated Viscosity
4. Zdeněk Skalák, A continuity property for the inverse of Mañé's projection
5. Martine Marion, Adeline Mollard, An Adaptive Multi-level method for Convection Diffusion Problems
6. Rolf Bronstering, Min Chen, Bifurcations of finite difference schemes and their approximate inertial forms
7. Jean-Luc Guermond, Stabilization of Galerkin approximations of transport equations by subgrid modeling
8. O. Goubet, Separation of variables in the Stokes problem application to its finite element multiscale approximation