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Physica D: Nonlinear Phenomena

Volumn 30, Issue 3, 1988, Pages 284-296

On the dimension of the attractors in two-dimensional turbulence

(3) Constantin, P a Foias, C b Temam, R c

a UNIVERSITY OF CHICAGO (United States)

b INDIANA UNIVERSITY (United States)

c UNIVERSITÉ PARIS SACLAY (France)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; MATHEMATICAL TECHNIQUES - NONLINEAR EQUATIONS;

2-D NAVIER-STOKES EQUATIONS; 2-D TURBULENCE; ENSTROPHY; SOBOLEV-LIEB-THIRRING INEQUALITY; TURBULENCE THEORY;

FLOW OF FLUIDS;

EID: 0023999086 PISSN: 01672789 EISSN: None Source Type: Journal
DOI: 10.1016/0167-2789(88)90022-X Document Type: Article

Times cited : (178)

References (26)

1
- 36849111955
- Computation of the energy spectrum in homogeneous two dimensional turbulence
- (1969) Physics of Fluids , vol.12 , pp. 233-239
- Batchelor¹

2
- 0003014302
- Les attracteurs des équations d'évolution et les estimations de leurs dimensions
- [232]
- (1983) Usp. Math. Nauk , vol.38 , Issue.4 , pp. 133-187
- Babin¹ Vishik²

3
- 49149142420
- Nonlinear Schrödinger evolution equations
- (1980) Nonlinear Analysis: Theory, Methods & Applications , vol.4 , pp. 677-681
- Brézis¹ Gallouet²

4
- 0242330113
- ∞ estimates for families of functions with orthonormal derivatives
- (1987) Indiana University Mathematics Journal , vol.36 , pp. 603-615
- Constantin¹

5
- 84990581938
- Global Lyapunov exponents Kaplan-Yorke formulas and the dimension of the attractors for 2D Navier-Stokes equations
- (1985) Communications on Pure and Applied Mathematics , vol.38 , pp. 1-27
- Constantin¹ Foias²

6
- 0002652635
- Attractors representing turbulent flows
- (1985) Memoirs of A.M.S. , vol.53 , Issue.314
- Constantin¹ Foias² Temam³

7
- 0021150102
- Determining modes and fractal dimensions of turbulent flows
- (1985) J. Fluid Mech. , vol.150 , pp. 427-440
- Constantin¹ Foias² Manley³ Temam⁴

8
- 84914737567
- P. Constantin, C. Foias, B. Nicolaenko and R. Temam, Integral and inertial manifolds for dissipative PDE's, preprint.

9
- 0000263117
- Some analytic and geometric properties of the solutions of the Navier-Stokes equations
- (1979) J. Math. Pures Appl. , vol.58 , pp. 339-368
- Foias¹ Temam²

10
- 84914749618
- C. Foias, O. Manley and R. Temam, Attractors for the Bénard problem: Existence and physical bounds on their fractal dimension, to appear.

11
- 0020830393
- Asymptotic analysis of the Navier-Stokes equations
- (1983) Physica , vol.9 D , pp. 157-188
- Foias¹ Manley² Temam³ Treve⁴

12
- 36849114603
- Inertial ranges in two-dimensional turbulence
- (1967) Phys. Fluids , vol.10 , pp. 1417-1423
- Kraichnan¹

13
- 84914737400
- O.A. Ladyzhenskaia, On the finiteness of the dimension of bounded invariant sets for the Navier-Stokes equations and other related dissipative systems, in: The Boundary Values of Problems of Mathematical Physics and Related Questions in Functional Analysis, Seminar of the Steklov Institute, Leningrad, 14.

14
- 0003610623
- Addison-Wesley, New York
- (1953) Fluid Mechanics
- Landau¹ Lifschitz²

15
- 0000251993
- On characteristic exponents in turbulence
- (1984) Comm. Math. Phys. , vol.92 , pp. 473-480
- Lieb¹

16
- 48749147673
- p bound for the Riesz and Bessel potentials of orthonormal functions
- (1983) J. Funct. Analysis , vol.51 , Issue.2 , pp. 159-165
- Lieb¹

17
- 0002624077
- Inequalities for the moments of the eigenvalues of the Schrödinger equation and their relation to Sobolev inequalities
- E. Lieb, B. Simon, A. Wightman, Princeton Univ. Press, Princeton, NJ
- (1976) Studies in Mathematical Physics: Essays in Honor of Valentine Bargman
- Lieb¹ Thirring²

18
- 0003666299
- Freeman, San Francisco
- (1977) Fractals: Form, Chance and Dimension
- Mandelbrot¹

19
- 0001883464
- An example of absence of turbulence for any Reynolds number
- (1986) Comm. Math. Phys. , vol.105 , pp. 99-106
- Marchioro¹

20
- 66149163937
- Remarques sur l'uncité de la solution stationnaire d'une équation de type Navier-Stokes
- (1976) Revue Roumaine Math. Pures et Appl. , vol.21 , pp. 1071-1075
- Minea¹

21
- 0000038026
- Large volume limit distribution of characteristic exponents in turbulence
- (1982) Comm. Math. Phys. , vol.87 , pp. 287-301
- Ruelle¹

22
- 0003887517
- 2nd ed., North-Holland, Amsterdam
- (1979) Navier-Stokes Equations, Theory and Numerical Analysis
- Temam¹

23
- 0003872101
- Navier-Stokes equations and nonlinear functional analysis
- SIAM, Philadelphia
- (1983) NSF/CBMS Regional Conference Series in Appl. Math.
- Temam¹

24
- 84914713797
- R. Temam, Remarks on Lieb-Thirring-Sobolev inequalities and some generalizations, preprint.

25
- 43949090723
- Infinite dimensional dynamical systems in fluid mechanics
- F. Browder, Berkeley, CA
- (1983) Nonlinear Functional Analysis and Applications, Proc. AMS Summer Research Institute
- Temam¹

26
- 84914744425
- A comparative pathology of atmospheric turbulence in two and three dimensions
- M. Ghil, Varenna
- (1983) Turbulence and Predictability in Geophysical Fluid Dynamics and in Climate Dynamics, Proc. Int. School of Physics
- Tennekes¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.