PreprintCC BY 4.0arXiv
Riemann problem for the isentropic Cargo-LeRoux system with extended Chaplygin fluids
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.
Related
- Neural Finite Volume and Mixture-of-Experts Physics-Informed Networks for the Isentropic Cargo–LeRoux Model: An Exact-Solution-Grounded Comparative Study
- Solutions of the Riemann problem for the Self-Organized Hydrodynamics model
- The WKB Riemann-Hilbert Problem for the Painlevé I System
- On the Riemann Boundary Value Problem for Poly- and Meta-hyperanalytic Function Spaces over d-summable Curves
- The Waring-Goldbach problem in short intervals under the Generalized Riemann Hypothesis
BibTeX
@misc{priyanka2026riemann,
title = {{Riemann problem for the isentropic Cargo-LeRoux system with extended Chaplygin fluids}},
author = {Priyanka and M. Zafar and V. D. Sharma},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22950},
eprint = {2610.22950},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22950},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Riemann problem for the isentropic Cargo-LeRoux system with extended Chaplygin fluids
AU - Priyanka
AU - M. Zafar
AU - V. D. Sharma
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.22950
UR - https://arxiv.org/abs/2610.22950
AB - 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.
ER -