An overview of some recent results on the Euler system of isentropic gas dynamics (Q285340)
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scientific article; zbMATH DE number 6582345
| Language | Label | Description | Also known as |
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| English | An overview of some recent results on the Euler system of isentropic gas dynamics |
scientific article; zbMATH DE number 6582345 |
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An overview of some recent results on the Euler system of isentropic gas dynamics (English)
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19 May 2016
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The authors study uniqueness of solution to the Cauchy problem for isentropic compressible Euler system in two space dimensions. Pressure is the function of density: \(p=\rho^\gamma\). The main result of the paper states that for \(1\leq \gamma\leq 3\) there exist Riemann data such that some of the infinitely many solutions dissipate more energy than the self-similar solution. This shows that the Dafermos entropy rate criterion can fail to pick the self-similar solution.
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Riemann problem
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admissible solutions
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entropy rate criterion
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ill-posedness
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convex integration
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Dafermos entropy rate criterion
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