Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Entropy Solutions and Newtonian Limit for the Relativistic Euler
  Equations   We analyze the relativistic Euler equations of conservation laws of baryon
number and momentum with a general pressure law. The existence of
global-in-time bounded entropy solutions for the system is established by
developing a compensated compactness framework. The proof relies on a careful
analysis of the entropy and entropy-flux functions, which are represented by
the fundamental solutions of the entropy and entropy-flux equations for the
relativistic Euler equations. Based on the careful entropy analysis, we
establish a compactness framework for sequences of both exact solutions and
approximate solutions of the relativistic Euler equations. Then we construct
approximate solutions via the vanishing viscosity method and employ our
compactness framework to deduce the global-in-time existence of entropy
solutions. The compactness of the solution operator is also established.
Finally, we apply our techniques to establish the convergence of the Newtonian
limit from the entropy solutions of the relativistic Euler equations to the
classical Euler equations.

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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th