Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blow up Analysis for Anomalous Granular Gases   We investigate in this article the long-time behaviour of the solutions to
the energy-dependant, spatially-homogeneous, inelastic Boltzmann equation for
hard spheres. This model describes a diluted gas composed of hard spheres under
statistical description, that dissipates energy during collisions. We assume
that the gas is "anomalous", in the sense that energy dissipation increases
when temperature decreases. This allows the gas to cool down in finite time. We
study existence and uniqueness of blow up profiles for this model, together
with the trend to equilibrium and the cooling law associated, generalizing the
classical Haff's Law for granular gases. To this end, we investigate the
asymptotic behaviour of the inelastic Boltzmann equation with and without drift
term by introducing new strongly "nonlinear" self-similar variables.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom