Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blow-up versus global existence of solutions to aggregation equations   A class of nonlinear viscous transport equations describing aggregation
phenomena in biology is considered. Optimal conditions on an interaction
potential are obtained which lead either to the existence or to the
nonexistence of global-in-time solutions.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph