Differential constraints for hyperbolic systems through k-Riemann invariants
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912492959039488 |
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| author | Jannelli, Alessandra Manganaro, Natale Rizzo, Alessandra |
| author_facet | Jannelli, Alessandra Manganaro, Natale Rizzo, Alessandra |
| contents | In this paper we develop a reduction procedure for determining exact wave solutions of first order quasilinear hyperbolic one-dimensional nonhomogeneous systems. The approach is formulated within the theoretical framework of the method of differential constraints and it makes use of the $k-$Riemann invariants. The solutions obtained permit to characterize rarefaction waves also for nonhomogeneous models so that Riemann problems can be solved. Applications to the Euler system describing an ideal fluid with a source term are given. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_14877 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differential constraints for hyperbolic systems through k-Riemann invariants Jannelli, Alessandra Manganaro, Natale Rizzo, Alessandra Mathematical Physics In this paper we develop a reduction procedure for determining exact wave solutions of first order quasilinear hyperbolic one-dimensional nonhomogeneous systems. The approach is formulated within the theoretical framework of the method of differential constraints and it makes use of the $k-$Riemann invariants. The solutions obtained permit to characterize rarefaction waves also for nonhomogeneous models so that Riemann problems can be solved. Applications to the Euler system describing an ideal fluid with a source term are given. |
| title | Differential constraints for hyperbolic systems through k-Riemann invariants |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2507.14877 |