Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear analysis of the shearing instability in granular gases   It is known that a finite-size homogeneous granular fluid develops an
hydrodynamic-like instability when dissipation crosses a threshold value. This
instability is analyzed in terms of modified hydrodynamic equations: first, a
source term is added to the energy equation which accounts for the energy
dissipation at collisions and the phenomenological Fourier law is generalized
according to previous results. Second, a rescaled time formalism is introduced
that maps the homogeneous cooling state into a nonequilibrium steady state. A
nonlinear stability analysis of the resulting equations is done which predicts
the appearance of flow patterns. A stable modulation of density and temperature
is produced that does not lead to clustering. Also a global decrease of the
temperature is obtained, giving rise to a decrease of the collision frequency
and dissipation rate. Good agreement with molecular dynamics simulations of
inelastic hard disks is found for low dissipation.

32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol