Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of measure-valued solutions to a complete Euler system for a
  perfect gas   The concept of renormalized dissipative measures-valued (rDMV) solutions to a
complete Euler system for a perfect gas was introduced in [8] and further
discussed in [9]. Moreover it was shown there that rDMV solutions satisfy the
weak (measure--valued)--strong uniqueness principle that makes them a useful
tool. In this paper we prove the existence of rDMV solutions. Namely, we
formulate the complete Euler system in conservative variables usual for
numerical analysis and recall the concept of rDMV solutions based on the total
energy balance and renormalization of entropy inequality for the physical
entropy presented in [8]. We then give two different ways how to generate rDMV
solutions. First via vanishing viscosity limit using Navier-Stokes equations
coupled with entropy transport and second via the vanishing dissipation limit
of the two-velocity model proposed by H. Brenner. Finally, we recall the
weak--strong uniqueness principle for rDMV solutions proved in [8] and [9].

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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: q-alg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph