Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blowup criteria for geometric flows on surfaces   Utilizing a splitting of geometric flows on surfaces introduced by Buzano and
Rupflin, we present a general scheme to prove blow up criteria for such
geometric flows. A vital ingredient is a new compactness theorem for families
of metrics on surfaces with a uniform bound on their volumes, square integrals
of their curvatures and injectivity radii. In particular we prove blow up
criteria for the harmonic Ricci flow and for the spinor flow on surfaces.

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph