Attractors and Finite-Dimensional Behaviour in the 2D Navier-Stokes Equations | Zendy

James C. Robinson | Zendy

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Attractors and Finite-Dimensional Behaviour in the 2D Navier-Stokes Equations

Author(s) -

James C. Robinson

Publication year - 2013

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.1155/2013/291823

Subject(s) - attractor , dynamical systems theory , navier–stokes equations , dynamical system (definition) , mathematics , hagen–poiseuille flow from the navier–stokes equations , field (mathematics) , mathematical analysis , physics , pure mathematics , mechanics , compressibility , quantum mechanics

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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