Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the propagation of temperature-rate waves and traveling waves in
  rigid conductors of the Graffi--Franchi--Straughan type   We examine second-sound phenomena in a class of rigid, thermally conducting,
solids that are described by a special case of the Maxwell--Catteneo flux law.
Employing both analytical and numerical methods, we examine both
temperature-rate waves and thermal traveling waves in this class of thermal
conductor, which have recently been termed Graffi--Franchi--Straughan type
conductors. In the present study, the temperature-dependent nature of the
thermal relaxation time, which is the distinguishing feature of this class of
conductors, gives rise to a variety of nonlinear effects; in particular,
finite-time temperature-rate wave blow-up and temperature traveling waveforms
which exhibit a "tongue". The presentation concludes with a discussion of
possible follow-on studies.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat