Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moment closure approximations of the Boltzmann Equation based on
  {\phi}-divergences   This paper is concerned with approximations of the Boltzmann equation based
on the method of moments. We propose a generalization of the setting of the
moment-closure problem from relative entropy to {\phi}-divergences and a
corresponding closure procedure based on minimization of {\phi}-divergences.
The proposed description encapsulates as special cases Grad's classical closure
based on expansion in Hermite polynomials and Levermore's entropy-based
closure. We establish that the generalization to divergence-based closures
enables the construction of extended thermodynamic theories that avoid
essential limitations of the standard moment-closure formulations such as
inadmissibility of the approximate phase-space distribution, potential loss of
hyperbolicity and singularity of flux functions at local equilibrium. The
divergence-based closure leads to a hierarchy of tractable symmetric hyperbolic
systems that retain the fundamental structural properties of the Boltzmann
equation.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs