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• W3196799076 abstract "This article is concerned with the analysis of the one-dimensional compressible Euler equations with a singular pressure law, the so-called hard sphere equation of state. The result is twofold. First, we establish the existence of bounded weak solutions by means of a viscous regularization and refined compensated compactness arguments. Second, we investigate the smooth setting by providing a detailed description of the impact of the singular pressure on the breakdown of the solutions. In this smooth framework, we rigorously justify the singular limit towards the free-congested Euler equations, where the compressible (free) dynamics is coupled with the incompressible one in the constrained (i.e. congested) domain." @default.
• W3196799076 created "2021-09-13" @default.
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• W3196799076 date "2021-09-02" @default.
• W3196799076 modified "2023-09-27" @default.
• W3196799076 title "Soft congestion approximation to the one-dimensional constrained Euler equations" @default.
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• W3196799076 doi "https://doi.org/10.1088/1361-6544/ac1e33" @default.
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