@article{M2AN_1988__22_1_93_0,
author = {Foias, C. and Manley, O. and Temam, R.},
title = {Modelling of the interaction of small and large eddies in two dimensional turbulent flows},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {93--118},
year = {1988},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {22},
number = {1},
mrnumber = {934703},
zbl = {0663.76054},
language = {en},
url = {https://www.numdam.org/item/M2AN_1988__22_1_93_0/}
}
TY - JOUR AU - Foias, C. AU - Manley, O. AU - Temam, R. TI - Modelling of the interaction of small and large eddies in two dimensional turbulent flows JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1988 SP - 93 EP - 118 VL - 22 IS - 1 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1988__22_1_93_0/ LA - en ID - M2AN_1988__22_1_93_0 ER -
%0 Journal Article %A Foias, C. %A Manley, O. %A Temam, R. %T Modelling of the interaction of small and large eddies in two dimensional turbulent flows %J ESAIM: Modélisation mathématique et analyse numérique %D 1988 %P 93-118 %V 22 %N 1 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1988__22_1_93_0/ %G en %F M2AN_1988__22_1_93_0
Foias, C.; Manley, O.; Temam, R. Modelling of the interaction of small and large eddies in two dimensional turbulent flows. ESAIM: Modélisation mathématique et analyse numérique, Tome 22 (1988) no. 1, pp. 93-118. https://www.numdam.org/item/M2AN_1988__22_1_93_0/
[1] and , « Nonlinear Schroedinger evolution equation», Nonlinear Analysis Theory Methods and Applications, Vol.4, 1980, p. 677. | Zbl | MR
[2] , and , « Sur l'interaction des petits et grands tourbillons dans des écoulements turbulents», C.R. Ac. Sc.Paris, 305, Série I, 1987; pp. 497-500. | Zbl | MR
[3] , and , to appear. | MR
[4] ,, and , « Asymptotic analysis of the Navier-Stokes equations», Physica 6D, 1983, pp. 157-188. | Zbl | MR
[5] ,, and , « 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. | Zbl | MR
[6] and , « 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. | Zbl | MR | Numdam
[7] and , « Some analytic and geometrie properties of the solutions of the Navier-Stokes equations», J. Math. Pure Appl, Vol.58, 1979, pp. 339-368. | Zbl | MR
[8] and , 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. | Zbl | MR
[9] , C. R. Ac. Sc URSS, Vol.30, 1941, p. 301; Vol. 31, 1941, p. 538; Vol. 32, 1941, p. 16.
[10] , « Inertial ranges in two dimensional turbulence», Phys. Fluids, Vol. 10, 1967, pp. 1417-1423.
[11] , « 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. | Zbl | MR
[12] , Navier-Stokes Equations, 3rd Revised Ed., North Holland, Amsterdam, 1984. | Zbl
[13] , Navier-Stokes Equations and Nonlinear Functional Analysis, NSF/CBMS Regional Conferences Series in Appl. Math., SIAM, Philadelphia, 1983. | Zbl | MR
[14] , Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, 1988. | Zbl | MR
[15] , Article in preparation.
[16] and , Imbeddings and Extensions in Analysis, Springer-Verlag, Heidelberg, New York | Zbl
