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arXiv · 2507.14877

Differential constraints for hyperbolic systems through k-Riemann invariants

Alessandra Jannelli·Natale Manganaro·Alessandra Rizzo
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Abstract

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.

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Alessandra Jannelli, Natale Manganaro, Alessandra Rizzo. 2025-07-20. Differential constraints for hyperbolic systems through k-Riemann invariants. https://arxiv.org/abs/2507.14877

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