Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a degenerate parabolic system describing the mean curvature flow of
  rotationally symmetric closed surfaces   We show that the mean curvature flow for a closed and rotationally symmetric
surface can be formulated as an evolution problem consisting of an evolution
equation for the square of the function whose graph is rotated and two ODEs
describing the evolution of the points of the evolving surface that lie on the
rotation axis. For the fully nonlinear and degenerate parabolic problem we
establish the well-posedness property in the setting of classical solutions.
Besides we prove that the problem features the effect of parabolic smoothing.

35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org