Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Suppression of blow up by a logistic source in $2$D Keller-Segel system
  with fractional dissipation   We consider a two dimensional parabolic-elliptic Keller-Segel equation with a
logistic forcing and a fractional diffusion of order $\alpha$. We obtain
existence of global in time regular solution for arbitrary initial data with no
size restrictions and $c<\alpha\leq 2$, where $c \in (0,2)$ depends on the
equation's parameters. For an even wider range of $\alpha's$, we prove
existence of global in time weak solution for general initial data.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int