Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $L^2$ decay for the 2D co-rotation FENE dumbbell model of polymeric
  flows   In this paper we mainly study the long time behaviour of solutions to the
finite extensible nonlinear elastic (FENE) dumbbell model with dimension two in
the co-rotation case. Firstly, we obtain the $L^2$ decay rate of the velocity
of the 2D co-rotation FENE model is $(1+t)^{-\frac{1}{2}}$ with small data.
Then, by virtue of the Littlewood-Paley theory, we can remove the small
condition. Our obtained sharp result improves considerably the recent results
in \cite{Luo-Yin,Schonbek}.

26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio