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arXiv · 1312.6716

On whether zero is in the global attractor of the 2D Navier-Stokes equations

Ciprian Foias·Michael Jolly·Yong Yang·Bingsheng Zhang
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Abstract

The set of nonzero external forces for which the zero function is in the global attractor of the 2D Navier-Stokes equations is shown to be meagre in a Fréchet topology. A criterion in terms of a Taylor expansion in complex time is used to characterize the forces in this set. This leads to several relations between certain Gevrey subclasses of $C^{\infty}$ and a new upper bound for a Gevrey norm of solutions in the attractor, valid in the strip of analyticity in time.

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Ciprian Foias, Michael Jolly, Yong Yang, Bingsheng Zhang. 2013-12-23. On whether zero is in the global attractor of the 2D Navier-Stokes equations. https://doi.org/10.1088/0951-7715%2F27%2F11%2F2755

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