Approximating the trajectory attractor of the 3D Navier-Stokes system using various \( \alpha\)-models of fluid dynamics (Q2817565)
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scientific article; zbMATH DE number 6621327
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximating the trajectory attractor of the 3D Navier-Stokes system using various \( \alpha\)-models of fluid dynamics |
scientific article; zbMATH DE number 6621327 |
Statements
1 September 2016
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3D Navier-Stokes system
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\(\alpha\)-models of fluid dynamics
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trajectory attractor
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0.94297135
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0.9317655
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0.92084664
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0.9168233
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0.9098326
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0.90060854
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0.8971858
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Approximating the trajectory attractor of the 3D Navier-Stokes system using various \( \alpha\)-models of fluid dynamics (English)
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The main objective of this paper consists in the study of the connection between the long-time dynamics of solutions of various \(\alpha\)-models and the trajectory attractor of the exact 3D Navier-Stokes system as \(\alpha \rightarrow 0+\). It comes out that the attractions of trajectories to the global attractor of the system for an \(\alpha\)-model of class I is stronger than for an \(\alpha\)-model of class II.NEWLINENEWLINEThe paper is written very clear and all necessary tools from calculus or functional analysis are provided in a good manner. The bibliography contains 30 items.
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