Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blow up analysis for a cosmic strings equation   In this paper we develop a blow up analysis for solutions of a planar
semilinear elliptic equation involving exponential nonlinearities. Such
solutions describe cosmic strings, and we show how their blow up behaviour is
characterised by new and surprising phenomena. For example in some cases, the
blow up profile of the solution is described in terms of a differential problem
that bares a geometrical meaning in the context of the uniformization of the
Riemann sphere with conical singularities.

33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga