Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local-in-time existence of strong solutions to a class of compressible
  non-Newtonian Navier-Stokes equations   The aim of this article is to show a local-in-time existence of a strong
solution to the generalized compressible Navier-Stokes equation for arbitrarily
large initial data. The goal is reached by $L^p$-theory for linearized
equations which are obtained with help of the Weis multiplier theorem and can
be seen as generalization of the work of Shibata and Enomoto (devoted to
compressible fluids) to compressible non-Newtonian fluids.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin