Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-uniqueness of admissible weak solution to the Riemann problem for
  the full Euler system in 2D   The question of well- and ill-posedness of entropy admissible solutions to
the multi-dimensional systems of conservation laws has been studied recently in
the case of isentropic Euler equations. In this context special initial data
were considered, namely the 1D Riemann problem which is extended trivially to a
second space dimension. It was shown that there exist infinitely many bounded
entropy admissible weak solutions to such a 2D Riemann problem for isentropic
Euler equations, if the initial data give rise to a 1D self-similar solution
containing a shock. In this work we study such a 2D Riemann problem for the
full Euler system in two space dimensions and prove the existence of infinitely
many bounded entropy admissible weak solutions in the case that the Riemann
initial data give rise to the 1D self-similar solution consisting of two shocks
and possibly a contact discontinuity.

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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex