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arxiv:2310.00537

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

Published on Oct 1, 2023
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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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