Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphical translating solitons for the mean curvature flow and
  isoparametric functions   In this paper, we consider a translating soliton for the mean curvature flow
starting from a graph of a function on a domain in the n-dimensional unit
sphere which is constant along each leaf of an isoparametric foliation. First,
we show that such function is given as a composition of an isoparametric
function and a solution of a certain ordinary differential equation. Further,
we analyze the shape of the graphs of the solutions of the ordinary
differential equation. This analysis leads to the classification of the shape
of such translating soliton.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ