Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On whether zero is in the global attractor of the 2D Navier-Stokes
  equations   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
Fr\'echet 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.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat