Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the heat content of a polygon   Let $D$ be a bounded, connected, open set in Euclidean space $\mathbb{R}^{2}$
with polygonal boundary. Suppose $D$ has initial temperature $1$ and the
complement of $D$ has initial temperature $0$. We obtain the asymptotic
behaviour of the heat content of $D$ as time $t \downarrow 0$. We then apply
this result to compute the heat content of a particular fractal polyhedron as
$t \downarrow 0$.

32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg