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arXiv:2310.00537 [math.AP]AbstractReferencesReviewsResources

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

Hossein Nick Zinat Matin, Maria Laura Delle Monache

Published 2023-10-01Version 1

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.

Comments: 51 pages, 29 Figures
Categories: math.AP
Subjects: 35L65
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