On solutions of the 2D Navier-Stokes equations with constant energy and enstrophy (Q2788646)
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scientific article; zbMATH DE number 6543229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solutions of the 2D Navier-Stokes equations with constant energy and enstrophy |
scientific article; zbMATH DE number 6543229 |
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22 February 2016
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2D Navier-Stokes equations
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energy
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enstrophy
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global attractor
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ghost solutions
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On solutions of the 2D Navier-Stokes equations with constant energy and enstrophy (English)
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This is a study on the structure of the global attractor for two-dimensional space periodic nonhomogeneous Navier-Stokes equations. It is not yet known that this attractor contains nonstationary solutions with their energy and enstrophy constant in time, the so-called ``ghost solutions'', introduced in the paper: [\textit{C. Foias} et al., J. Dyn. Differ. Equations 25, No. 2, 393--433 (2013; Zbl 1285.35067)]. The authors consider some special ``ghost solutions'' and show how to check for the existence of these solutions in a computational way.
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