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Ruelle, David; Takens, Floris

On the nature of turbulence. (English) Zbl 0223.76041

Commun. Math. Phys. 20, 167-192 (1971).
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Cited in 11 Reviews
Cited in 486 Documents

MSC:

76F05 Isotropic turbulence; homogeneous turbulence
76F20 Dynamical systems approach to turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids
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\textit{D. Ruelle} and \textit{F. Takens}, Commun. Math. Phys. 20, 167--192 (1971; Zbl 0223.76041)
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References:

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[5] —- —- – Invariant manifolds. To appear.
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[15] Fife, P. C., Joseph, D. D.: Existence of convective solutions of the generalized Bénard problem which are analytic in their norm. Arch. Mech. Anal.33, 116–138 (1969). · Zbl 0193.56601
[16] Krasnosel’skii, M.: Topological methods in the theory of nonlinear integral equations. New York: Pergamon 1964.
[17] Rabinowitz, P. H.: Existence and nonuniqueness of rectangular solutions of the Bénard problem. Arch. Rat. Mech. Anal.29, 32–57 (1968). · Zbl 0164.28704
[18] Velte, W.: Stabilität und Verzweigung stationärer Lösungen der Navier-Stokesschen Gleichungen beim Taylorproblem. Arch. Rat. Mech. Anal.22, 1–14 (1966). · Zbl 0233.76054
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