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

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.

51 pages, 29 Figures

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