Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagation of a Mean Curvature Flow in a Cone   We consider a mean curvature flow in a cone, that is, a hypersurface in a
cone which moves toward the opening with normal velocity equaling to the mean
curvature, and the contact angle between the hypersurface and the cone boundary
being $\varepsilon$-periodic in its position. First, by constructing a family
of self-similar solutions, we give a priori estimates for the radially
symmetric solutions and prove the global existence. Then we consider the
homogenization limit as $\ve\to 0$, and use {\it the slowest self-similar
solution} to characterize the solution, with error $O(1)\ve^{1/6}$, in some
finite time interval.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex