Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blowup behavior for a degenerate elliptic sinh-Poisson equation with
  variable intensities   In this paper, we provide a complete blow-up picture for solution sequences
to an elliptic sinh-Poisson equation with variable intensities arising in the
context of the statistical mechanics description of two-dimensional turbulence,
as initiated by Onsager. The vortex intensities are described in terms of a
probability measure defined on the interval. Under Dirichlet boundary
conditions we establish the exclusion of boundary blowup points, we show that
the concentration mass does not have residual L1-terms and we determine the
location of blowup points in terms of Kirchhoff's Hamiltonian. We allow the
measure to be a general Borel measure, which could be "degenerate." Our main
results are new for the standard sinh-Poisson equation as well.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat