- On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux 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. 2 authors ยท Sep 30, 2023