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arXiv · 2610.22950

Riemann problem for the isentropic Cargo-LeRoux system with extended Chaplygin fluids

Priyanka·M. Zafar·V. D. Sharma
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Abstract

This study deals with the Riemann solutions of the isentropic Cargo-LeRoux system of conservation laws along with an extended Chaplygin fluid model and a generalized equation of state that captures nonlinear compressibility and non-ideal fluid behavior. It is shown that in the vanishing pressure limiting case, the Riemann solution yields a delta shock and a vacuum state. Delta shocks form when mass concentrates due to vanishing pressure, while vacuum states emerge in the rarefaction-dominated regions. These wave patterns are crucial in modeling real-world problems like discontinuous and multi-phase astrophysical fluid flows, underwater explosions, and combustion fronts.

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Priyanka, M. Zafar, V. D. Sharma. 2026-10-16. Riemann problem for the isentropic Cargo-LeRoux system with extended Chaplygin fluids. https://arxiv.org/abs/2610.22950

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