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Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations - MaRDI portal

Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations (Q2448993)

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Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations
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    Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations (English)
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    6 May 2014
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    Summary: The purpose of this review is to give a broad outline of the dynamical systems approach to the two-dimensional Navier-Stokes equations. This example has led to much of the theory of infinite-dimensional dynamical systems, which is now well developed. A second aim of this review is to highlight a selection of interesting open problems, both in the analysis of the two-dimensional Navier-Stokes equations and in the wider field of infinite-dimensional dynamical systems.
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