Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Type II Singularities on complete non-compact Yamabe flow   This work concerns with the existence and detailed asymptotic analysis of
Type II singularities for solutions to complete non-compact conformally flat
Yamabe flow with cylindrical behavior at infinity. We provide the specific
blow-up rate of the maximum curvature and show that the solution converges,
after blowing-up around the curvature maximum points, to a rotationally
symmetric steady soliton. It is the first time that the steady soliton is shown
to be a finite time singularity model of the Yamabe flow.

33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat