Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Riemann solutions to the isentropic Euler equations in the
  vanishing pressure limit   The behaviour of the solutions to the Riemann problem for the isentropic
Euler equations when the pressure vanishes is analysed. It is shown that any
solution composed of a 1-shock wave and a 2-rarefaction wave tends to a
two-shock wave when the pressure gets smaller than a fixed value determined by
the Riemann data; by contrast, any solution composed of a 1-rarefaction wave
and a 2-shock wave tends to a two-rarefaction wave. The two situations are
illustrated with numerical tests.

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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph