Decomposition of the Wave Manifold into Lax Admissible Regions and its Application to the Solution of Riemann Problems

Autor:	Eschenazi, Cesar S., Lambert, Wanderson J., López-Flores, Marlon M., Marchesin, Dan, Palmeira, Carlos F. B.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We utilize a three-dimensional manifold to solve Riemann Problems that arise from a system of two conservation laws with quadratic flux functions. Points in this manifold represent potential shock waves, hence its name wave manifold. This manifold is subdivided into regions according to the Lax admissibility inequalities for shocks. Finally, we present solutions for the Riemann Problems for various cases and exhibit continuity relative to $L$ and $R$ data, despite the fact that the system is not strictly hyperbolic. The usage of this manifold regularizes the solutions despite the presence of an elliptic region. Comment: 42 pages, 48 figures. arXiv admin note: text overlap with arXiv:1908.01870
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.09354 Zobrazit plný text záznamu View this record from Arxiv