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arXiv · 2310.00537

On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux

Hossein Nick Zinat Matin·Maria Laura Delle Monache
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Abstract

In this paper, a PDE-ODE model with discontinuity in the flux as well as a flux constraint is analyzed. A modified Riemann solution is proposed and the existence of a weak solution to the Cauchy problem is rigorously investigated using the wavefront tracking scheme.

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Hossein Nick Zinat Matin, Maria Laura Delle Monache. 2023-10-01. On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux. https://arxiv.org/abs/2310.00537

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