Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Longtime behavior for homoenergetic solutions in the collision dominated
  regime for hard potentials   In this paper, we consider a particular class of solutions to the Boltzmann
equation which are referred to as homoenergetic solutions. They describe the
dynamics of a dilute gas due to collisions and the action of either a shear, a
dilation or a combination of both. We prove that solutions with initially high
temperature remain close and converge to a Maxwellian distribution with
temperature going to infinity. Furthermore, we give precise asymptotic formulas
for the temperature. This local stability result is a consequence of a dominant
shear and the homogeneity $ \gamma>0 $ of the collision operator with respect
to relative velocities. The proof relies on an ansatz which is motivated by a
Hilbert-type expansion. We consider both non-cutoff and cutoff kernels.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn