Existence result for a 2 x 2 system of conservation laws with discontinuous flux and applications

Abstract: This paper analyzes a two-by-two Temple-type system of conservation laws with discontinuous flux, focusing on applications in traffic modeling. We prove the existence of entropy solutions for initial data with sufficiently small total variation. Additionally, we explicitly construct the corresponding Riemann solver and examine its key properties. To illustrate the impact of the discontinuous flux on the solution, we also present numerical simulations.