Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Shakhov model near a global Maxwellian   Shakhov model is a relaxation approximation of the Boltzmann equation
proposed to overcome the deficiency of the original BGK model, namely, the
incorrect production of the Prandtl number. In this paper, we address the
existence and the asymptotic stability of the Shakhov model when the initial
data is a small perturbation of global equilibrium. We derive a dichotomy in
the coercive estimate of the linearized relaxation operator between zero and
non-zero Prandtl number, and observe that the linearized relaxation operator is
more degenerate in the former case. To remove such degeneracy and recover the
full coercivity, we consider a micro-macro system that involves an additional
non-conservative quantity related to the heat flux.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin