Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unsteady heat transport in a semi-infinite free end Hooke chain caused
  by instantaneous heat pulse   We deal with unsteady ballistic heat transport in a semi-infinite Hooke chain
with free end caused by instantaneous heat pulse. An analytical description of
the evolution of the kinetic temperature is proposed in both discrete and
continuum formulations in the frameworks of the lattice dynamics approach. We
show analytically a property of thermal wave to reflect from the free end.
Continuum description of the transient processes, caused by this reflection,
has restrictions. In particular, the kinetic temperature field near the
boundary and also evolution of the kinetic temperature at the boundary are
inadequately described via the continuum model. Based on the comparison of
descriptions of heat propagation in the semi-infinite and infinite Hooke
chains, we formulate the principles of symmetry of the discrete and continuum
solutions.

15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci