Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes
  equations   In this paper, we study the asymptotic behavior of solutions to the
three-dimensional incompressible Navier-Stokes equations (NSE) with periodic
boundary conditions and potential body forces. In particular, we prove that the
Foias-Saut asymptotic expansion for the regular solutions of the NSE in fact
holds in {\textit{all Gevrey classes}}. This strengthens the previous result
obtained in Sobolev spaces by Foias-Saut. By using the Gevrey-norm technique of
Foias-Temam, the proof of our improved result simplifies the original argument
of Foias-Saut, thereby, increasing its adaptability to other dissipative
systems. Moreover, the expansion is extended to all Leray-Hopf weak solutions.

37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin