Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On finding a cavity in a thermoelastic body using a single displacement
  measurement over a finite time interval on the surface of the body   A mathematical formulation of an estimation problem of a cavity inside a
three-dimensional thermoelastic body using time domain data is considered. The
governing equation of the problem is given by a system of equations in the
linear theory of thermoelasticity which is a coupled system of the elastic wave
and heat equations. A new version of the enclosure method in the time domain
which is originally developed for the classical wave equation is established.
For a comparison, the results in the decoupled case are also given.

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat