Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the isoperimetric inequality and surface diffusion flow for multiply
  winding curves   In this paper we establish a general form of the isoperimetric inequality for
immersed closed curves (possibly non-convex) in the plane under rotational
symmetry. As an application we obtain a global existence result for the surface
diffusion flow, providing that an initial curve is $H^2$-close to a multiply
covered circle and sufficiently rotationally symmetric.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess