The fractal dimension of pullback attractors for the 2D Navier–Stokes equations with delay

The fractal dimension of pullback attractors for the 2D Navier–Stokes equations with delay

This paper is concerned with the bounded fractal and Hausdorff dimension of the pullback attractors for 2D nonautonomous incompressible Navier‐Stokes equations with constant delay terms. Using the construction of trace formula with two bases for phase spaces of product flow, the upper boundedness of...

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-11, Vol.43 (17), p.9637-9653
Hauptverfasser: Yang, Xin‐Guang, Guo, Boling, Guo, Chunxiao, Li, Desheng
Format: Artikel
Sprache:eng
Schlagworte:
2D Navier–Stokes equation
Computational fluid dynamics
continuous delay
Fluid flow
fractal dimension
Fractal geometry
Fractals
Mathematical analysis
Navier-Stokes equations
pullback attractors
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Zusammenfassung:This paper is concerned with the bounded fractal and Hausdorff dimension of the pullback attractors for 2D nonautonomous incompressible Navier‐Stokes equations with constant delay terms. Using the construction of trace formula with two bases for phase spaces of product flow, the upper boundedness of fractal dimension has been achieved.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6634