Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Holway-Weiss Debate: Convergence of the Grad-Moment-Expansion in
  Kinetic Gas Theory   Moment expansions are used as model reduction technique in kinetic gas theory
to approximate the Boltzmann equation. Rarefied gas models based on so-called
moment equations became increasingly popular recently. However, in a seminal
paper by Holway [Phys. Fluids 7/6, (1965)] a fundamental restriction on the
existence of the expansion was used to explain sub-shock behavior of shock
profile solutions obtained by moment equations. Later, Weiss [Phys. Fluids 8/6,
(1996)] argued that this restriction does not exist. We will revisit and
discuss their findings and explain that both arguments have a correct and
incorrect part. While a general convergence restriction for moment expansions
does exist, it cannot be attributed to sub-shock solutions. We will also
discuss the implications of the restriction and give some numerical evidence
for our considerations.

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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an