Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence and optimal decay rates for three-dimensional
  compressible viscoelastic flows   In this paper, we are concerned with the global existence and optimal rates
of strong solutions for three-dimensional compressible viscoelastic flows. We
prove the global existence of the strong solutions by the standard energy
method under the condition that the initial data are close to the constant
equilibrium state in $H^2$-framework. If additionally the initial data belong
to $L^1$, the optimal convergence rates of the solutions in $L^p$-norm with
$2\leq p\leq 6$ and optimal convergence rates of their spatial derivatives in
$L^2$-norm are obtained.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph