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On a $2x2$ system of conservation laws with discontinuous flux

Year: 2026

Type: preprint

Abstract: We study a one-dimensional $2x2$ system of conservation laws with discontinuous flux. We prove the global existence of weak solutions for initial data with sufficiently small total variation. We construct explicitly the associated Riemann solver and analyze its main properties. Finally, we introduce a Glimm-type numerical scheme tailored to the exact Riemann solver and use it to reproduce the wave patterns obtained analytically.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.01858

Authors: Chiarello, Felisia Angela, Fagioli, Simone, Polizzi, Bastien, Rosini, Massimiliano Daniele

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7216127941

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