Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the dynamics of point vortices for the 2D Euler equation with $L^p$
  vorticity   We study the evolution of solutions to the 2D Euler equations whose vorticity
is sharply concentrated in the Wasserstein sense around a finite number of
points. Under the assumption that the vorticity is merely $L^p$ integrable for
some $p>2$, we show that the evolving vortex regions remain concentrated around
points, and these points are close to solutions to the Helmholtz--Kirchhoff
point vortex system.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs