Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Turbulent convection and pulsation stability of stars - I. Basic
  equations for calculations of stellar structure and oscillations   Starting from hydrodynamic equations, we have established a set of
hydrodynamic equations for average flow and a set of dynamic equations of auto-
and cross-correlations of turbulent velocity and temperature fluctuations,
following the classic Reynold's treatment of turbulence. The combination of the
two sets of equations leads to a complete and self-consistent mathematical
expressions ready for the calculations of stellar structure and oscillations.
In this paper, non-locality and anisotropy of turbulent convection are
concisely presented, together with defining and calibrating of the three
convection parameters ($c_1$, $c_2$ and $c_3$) included in the algorithm. With
the non-local theory of convection, the structure of the convective envelope
and the major characteristics of non-adiabatic linear oscillations are
demonstrated by numerical solutions. Great effort has been exercised to the
choice of convection parameters and pulsation instabilities of the models, the
results of which show that within large ranges of all three parameters ($c_1$,
$c_2$ and $c_3$) the main properties of pulsation stability keep unchanged.

22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex