Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations

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Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations

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Constantin, P.

Foias, C.

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1983

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We study the fractal and Hausforff dimensions of the universal attractor for the Navier-Stokes equations in two space dimensions. The finite dimensionality of the attractors for the Navier-Stokes equation was first implicitly proven in [16] and explicitely in [10]. The subject has been investigated recently by several authors.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Constantin, P.; Foias, C.. (1983). Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4254.

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