Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Cloaking for The Heat Equation via Transformation Optics   In this paper, we establish approximate cloaking for the heat equation via
transformation optics. We show that the degree of visibility is of the order
$\epsilon$ in three dimensions and $|\ln\epsilon|^{-1}$ in two dimensions,
where $\epsilon$ is the regularization parameter.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat