Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global solutions and asymptotic behavior for a parabolic degenerate
  coupled system arising from biology   In this paper we will focus on a parabolic degenerate system with respect to
unknown functions u and w on a bounded domain of the two-dimensional Euclidean
space. This system appears as a mathematical model for some biological
processes. Global existence and uniqueness of a nonnegative classical H\"older
continuous solution are proved. The last part of the paper is devoted to the
study of the asymptotic behavior of the solutions.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an