Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability, convergence to the steady state and elastic limit for the
  Boltzmann equation for diffusively excited granular media   We consider a space-homogeneous gas of {\it inelastic hard spheres}, with a
{\it diffusive term} representing a random background forcing (in the framework
of so-called {\em constant normal restitution coefficients} $\alpha \in [0,1]$
for the inelasticity). In the physical regime of a small inelasticity (that is
$\alpha \in [\alpha_*,1)$ for some constructive $\alpha_* \in [0,1)$) we prove
uniqueness of the stationary solution for given values of the restitution
coefficient $\alpha \in [\alpha_*,1)$, the mass and the momentum, and we give
various results on the linear stability and nonlinear stability of this
stationary solution.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph