A rigorous treatment of ‘experimental’ observations for the two–dimensional Navier–Stokes equations

DOI10.1098/rspa.2000.0703zbMath1013.35062OpenAlexW2043583920MaRDI QIDQ2748043

James C. Robinson

Publication date: 26 February 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0703

zbMATH Keywords

determining nodesglobal attractors2D Navier-Stokes equationsTakens' theoremKraichnan length

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

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Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem ⋮ Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system ⋮ The embedding problem in topological dynamics and Takens’ theorem ⋮ Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values ⋮ Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values ⋮ Gevrey class regularity for solutions of micropolar fluid equations

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